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Finding the Fourth Proportional to 523,102.92, 721,696.17 and 341,919.28

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Solution

The fourth proportional to 523,102.92, 721,696.17 and 341,919.28 is: 471,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,102.92 : 721,696.17 = 341,919.28 : x
  2. Step 2: Convert to fraction form
    523,102.92/721,696.17 = 341,919.28/x
  3. Step 3: Cross multiply
    523,102.92x = 721,696.17 × 341,919.28
  4. Step 4: Simplify right side
    523,102.92x = 246,761,834,825.16
  5. Step 5: Solve for x
    x = 246,761,834,825.16/523,102.92
  6. Step 6: Final answer
    x = 471,727.12

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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.