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Finding the Fourth Proportional to 310,910.50, 466,377.90 and 97,823.80

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Solution

The fourth proportional to 310,910.50, 466,377.90 and 97,823.80 is: 146,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,910.50 : 466,377.90 = 97,823.80 : x
  2. Step 2: Convert to fraction form
    310,910.50/466,377.90 = 97,823.80/x
  3. Step 3: Cross multiply
    310,910.50x = 466,377.90 × 97,823.80
  4. Step 4: Simplify right side
    310,910.50x = 45,622,858,414.02
  5. Step 5: Solve for x
    x = 45,622,858,414.02/310,910.50
  6. Step 6: Final answer
    x = 146,739.52

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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.