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Finding the Fourth Proportional to 657,105.80, 985,691.10 and 342,177.80

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Solution

The fourth proportional to 657,105.80, 985,691.10 and 342,177.80 is: 513,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,105.80 : 985,691.10 = 342,177.80 : x
  2. Step 2: Convert to fraction form
    657,105.80/985,691.10 = 342,177.80/x
  3. Step 3: Cross multiply
    657,105.80x = 985,691.10 × 342,177.80
  4. Step 4: Simplify right side
    657,105.80x = 337,281,612,077.58
  5. Step 5: Solve for x
    x = 337,281,612,077.58/657,105.80
  6. Step 6: Final answer
    x = 513,283.57

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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.