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Finding the Fourth Proportional to 506,295.72, 698,358.90 and 324,720.04

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Solution

The fourth proportional to 506,295.72, 698,358.90 and 324,720.04 is: 447,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,295.72 : 698,358.90 = 324,720.04 : x
  2. Step 2: Convert to fraction form
    506,295.72/698,358.90 = 324,720.04/x
  3. Step 3: Cross multiply
    506,295.72x = 698,358.90 × 324,720.04
  4. Step 4: Simplify right side
    506,295.72x = 226,771,129,942.36
  5. Step 5: Solve for x
    x = 226,771,129,942.36/506,295.72
  6. Step 6: Final answer
    x = 447,902.52

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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.