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Finding the Fourth Proportional to 523,409.80, 785,114.70 and 149,384.20

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Solution

The fourth proportional to 523,409.80, 785,114.70 and 149,384.20 is: 224,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,409.80 : 785,114.70 = 149,384.20 : x
  2. Step 2: Convert to fraction form
    523,409.80/785,114.70 = 149,384.20/x
  3. Step 3: Cross multiply
    523,409.80x = 785,114.70 × 149,384.20
  4. Step 4: Simplify right side
    523,409.80x = 117,283,731,367.74
  5. Step 5: Solve for x
    x = 117,283,731,367.74/523,409.80
  6. Step 6: Final answer
    x = 224,076.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.