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Finding the Fourth Proportional to 624,345.14, 861,385.38 and 406,454.60

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Solution

The fourth proportional to 624,345.14, 861,385.38 and 406,454.60 is: 560,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,345.14 : 861,385.38 = 406,454.60 : x
  2. Step 2: Convert to fraction form
    624,345.14/861,385.38 = 406,454.60/x
  3. Step 3: Cross multiply
    624,345.14x = 861,385.38 × 406,454.60
  4. Step 4: Simplify right side
    624,345.14x = 350,114,050,073.75
  5. Step 5: Solve for x
    x = 350,114,050,073.75/624,345.14
  6. Step 6: Final answer
    x = 560,770.04

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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.