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Finding the Fourth Proportional to 658,052.76, 908,113.20 and 356,246.76

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Solution

The fourth proportional to 658,052.76, 908,113.20 and 356,246.76 is: 491,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,052.76 : 908,113.20 = 356,246.76 : x
  2. Step 2: Convert to fraction form
    658,052.76/908,113.20 = 356,246.76/x
  3. Step 3: Cross multiply
    658,052.76x = 908,113.20 × 356,246.76
  4. Step 4: Simplify right side
    658,052.76x = 323,512,385,213.23
  5. Step 5: Solve for x
    x = 323,512,385,213.23/658,052.76
  6. Step 6: Final answer
    x = 491,620.74

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Half scale
Find fourth proportional to 1,316,105.52, 1,816,226.40 and 712,493.52
Double scale
Find fourth proportional to 658,053.76, 908,114.58 and 356,247.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.