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Finding the Fourth Proportional to 462,792.60, 694,145.14 and 147,193.92

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Solution

The fourth proportional to 462,792.60, 694,145.14 and 147,193.92 is: 220,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,792.60 : 694,145.14 = 147,193.92 : x
  2. Step 2: Convert to fraction form
    462,792.60/694,145.14 = 147,193.92/x
  3. Step 3: Cross multiply
    462,792.60x = 694,145.14 × 147,193.92
  4. Step 4: Simplify right side
    462,792.60x = 102,173,944,205.55
  5. Step 5: Solve for x
    x = 102,173,944,205.55/462,792.60
  6. Step 6: Final answer
    x = 220,776.96

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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.