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Finding the Fourth Proportional to 465,737.60, 698,433.60 and 185,196.80

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Solution

The fourth proportional to 465,737.60, 698,433.60 and 185,196.80 is: 277,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,737.60 : 698,433.60 = 185,196.80 : x
  2. Step 2: Convert to fraction form
    465,737.60/698,433.60 = 185,196.80/x
  3. Step 3: Cross multiply
    465,737.60x = 698,433.60 × 185,196.80
  4. Step 4: Simplify right side
    465,737.60x = 129,347,667,732.48
  5. Step 5: Solve for x
    x = 129,347,667,732.48/465,737.60
  6. Step 6: Final answer
    x = 277,726.49

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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.