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Finding the Fourth Proportional to 456,508.80, 684,711.36 and 176,002.56

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Solution

The fourth proportional to 456,508.80, 684,711.36 and 176,002.56 is: 263,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,508.80 : 684,711.36 = 176,002.56 : x
  2. Step 2: Convert to fraction form
    456,508.80/684,711.36 = 176,002.56/x
  3. Step 3: Cross multiply
    456,508.80x = 684,711.36 × 176,002.56
  4. Step 4: Simplify right side
    456,508.80x = 120,510,952,221.08
  5. Step 5: Solve for x
    x = 120,510,952,221.08/456,508.80
  6. Step 6: Final answer
    x = 263,983.85

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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.