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Finding the Fourth Proportional to 506,295.97, 698,359.24 and 324,720.29

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Solution

The fourth proportional to 506,295.97, 698,359.24 and 324,720.29 is: 447,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,295.97 : 698,359.24 = 324,720.29 : x
  2. Step 2: Convert to fraction form
    506,295.97/698,359.24 = 324,720.29/x
  3. Step 3: Cross multiply
    506,295.97x = 698,359.24 × 324,720.29
  4. Step 4: Simplify right side
    506,295.97x = 226,771,414,936.98
  5. Step 5: Solve for x
    x = 226,771,414,936.98/506,295.97
  6. Step 6: Final answer
    x = 447,902.86

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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.