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Finding the Fourth Proportional to 465,468.32, 698,257.16 and 165,991.48

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Solution

The fourth proportional to 465,468.32, 698,257.16 and 165,991.48 is: 249,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,468.32 : 698,257.16 = 165,991.48 : x
  2. Step 2: Convert to fraction form
    465,468.32/698,257.16 = 165,991.48/x
  3. Step 3: Cross multiply
    465,468.32x = 698,257.16 × 165,991.48
  4. Step 4: Simplify right side
    465,468.32x = 115,904,737,455.87
  5. Step 5: Solve for x
    x = 115,904,737,455.87/465,468.32
  6. Step 6: Final answer
    x = 249,006.71

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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.