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Finding the Fourth Proportional to 410,462.80, 615,759 and 173,806.96

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Solution

The fourth proportional to 410,462.80, 615,759 and 173,806.96 is: 260,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,462.80 : 615,759 = 173,806.96 : x
  2. Step 2: Convert to fraction form
    410,462.80/615,759 = 173,806.96/x
  3. Step 3: Cross multiply
    410,462.80x = 615,759 × 173,806.96
  4. Step 4: Simplify right side
    410,462.80x = 107,023,199,882.64
  5. Step 5: Solve for x
    x = 107,023,199,882.64/410,462.80
  6. Step 6: Final answer
    x = 260,737.88

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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.