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Finding the Fourth Proportional to 462,170.27, 693,269.53 and 158,560.17

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Solution

The fourth proportional to 462,170.27, 693,269.53 and 158,560.17 is: 237,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,170.27 : 693,269.53 = 158,560.17 : x
  2. Step 2: Convert to fraction form
    462,170.27/693,269.53 = 158,560.17/x
  3. Step 3: Cross multiply
    462,170.27x = 693,269.53 × 158,560.17
  4. Step 4: Simplify right side
    462,170.27x = 109,924,932,023.92
  5. Step 5: Solve for x
    x = 109,924,932,023.92/462,170.27
  6. Step 6: Final answer
    x = 237,845.10

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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.