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Finding the Fourth Proportional to 932,695.54, 1,397,353.82 and 427,678.97

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Solution

The fourth proportional to 932,695.54, 1,397,353.82 and 427,678.97 is: 640,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,695.54 : 1,397,353.82 = 427,678.97 : x
  2. Step 2: Convert to fraction form
    932,695.54/1,397,353.82 = 427,678.97/x
  3. Step 3: Cross multiply
    932,695.54x = 1,397,353.82 × 427,678.97
  4. Step 4: Simplify right side
    932,695.54x = 597,618,836,545.59
  5. Step 5: Solve for x
    x = 597,618,836,545.59/932,695.54
  6. Step 6: Final answer
    x = 640,743.75

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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.