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Finding the Fourth Proportional to 565,909.70, 781,066.34 and 324,354.16

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Solution

The fourth proportional to 565,909.70, 781,066.34 and 324,354.16 is: 447,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,909.70 : 781,066.34 = 324,354.16 : x
  2. Step 2: Convert to fraction form
    565,909.70/781,066.34 = 324,354.16/x
  3. Step 3: Cross multiply
    565,909.70x = 781,066.34 × 324,354.16
  4. Step 4: Simplify right side
    565,909.70x = 253,342,116,614.97
  5. Step 5: Solve for x
    x = 253,342,116,614.97/565,909.70
  6. Step 6: Final answer
    x = 447,672.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.