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Finding the Fourth Proportional to 409,772.87, 614,446.05 and 156,977.54

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Solution

The fourth proportional to 409,772.87, 614,446.05 and 156,977.54 is: 235,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,772.87 : 614,446.05 = 156,977.54 : x
  2. Step 2: Convert to fraction form
    409,772.87/614,446.05 = 156,977.54/x
  3. Step 3: Cross multiply
    409,772.87x = 614,446.05 × 156,977.54
  4. Step 4: Simplify right side
    409,772.87x = 96,454,229,391.72
  5. Step 5: Solve for x
    x = 96,454,229,391.72/409,772.87
  6. Step 6: Final answer
    x = 235,384.62

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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.