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Finding the Fourth Proportional to 453,414.28, 680,159.52 and 137,873.92

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Solution

The fourth proportional to 453,414.28, 680,159.52 and 137,873.92 is: 206,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,414.28 : 680,159.52 = 137,873.92 : x
  2. Step 2: Convert to fraction form
    453,414.28/680,159.52 = 137,873.92/x
  3. Step 3: Cross multiply
    453,414.28x = 680,159.52 × 137,873.92
  4. Step 4: Simplify right side
    453,414.28x = 93,776,259,247.72
  5. Step 5: Solve for x
    x = 93,776,259,247.72/453,414.28
  6. Step 6: Final answer
    x = 206,822.47

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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.