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Finding the Fourth Proportional to 466,568.06, 699,974.42 and 146,706.95

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Solution

The fourth proportional to 466,568.06, 699,974.42 and 146,706.95 is: 220,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,568.06 : 699,974.42 = 146,706.95 : x
  2. Step 2: Convert to fraction form
    466,568.06/699,974.42 = 146,706.95/x
  3. Step 3: Cross multiply
    466,568.06x = 699,974.42 × 146,706.95
  4. Step 4: Simplify right side
    466,568.06x = 102,691,108,002.81
  5. Step 5: Solve for x
    x = 102,691,108,002.81/466,568.06
  6. Step 6: Final answer
    x = 220,098.88

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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.