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Finding the Fourth Proportional to 477,224.20, 715,793.10 and 161,691.40

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Solution

The fourth proportional to 477,224.20, 715,793.10 and 161,691.40 is: 242,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,224.20 : 715,793.10 = 161,691.40 : x
  2. Step 2: Convert to fraction form
    477,224.20/715,793.10 = 161,691.40/x
  3. Step 3: Cross multiply
    477,224.20x = 715,793.10 × 161,691.40
  4. Step 4: Simplify right side
    477,224.20x = 115,737,588,449.34
  5. Step 5: Solve for x
    x = 115,737,588,449.34/477,224.20
  6. Step 6: Final answer
    x = 242,522.46

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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.