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Finding the Fourth Proportional to 465,772.38, 698,160.26 and 240,906.40

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Solution

The fourth proportional to 465,772.38, 698,160.26 and 240,906.40 is: 361,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,772.38 : 698,160.26 = 240,906.40 : x
  2. Step 2: Convert to fraction form
    465,772.38/698,160.26 = 240,906.40/x
  3. Step 3: Cross multiply
    465,772.38x = 698,160.26 × 240,906.40
  4. Step 4: Simplify right side
    465,772.38x = 168,191,277,643.68
  5. Step 5: Solve for x
    x = 168,191,277,643.68/465,772.38
  6. Step 6: Final answer
    x = 361,101.87

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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.