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Finding the Fourth Proportional to 466,447.75, 699,689.85 and 146,817.70

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Solution

The fourth proportional to 466,447.75, 699,689.85 and 146,817.70 is: 220,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,447.75 : 699,689.85 = 146,817.70 : x
  2. Step 2: Convert to fraction form
    466,447.75/699,689.85 = 146,817.70/x
  3. Step 3: Cross multiply
    466,447.75x = 699,689.85 × 146,817.70
  4. Step 4: Simplify right side
    466,447.75x = 102,726,854,490.35
  5. Step 5: Solve for x
    x = 102,726,854,490.35/466,447.75
  6. Step 6: Final answer
    x = 220,232.29

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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.