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Finding the Fourth Proportional to 416,753.30, 625,057.16 and 117,162.75

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Solution

The fourth proportional to 416,753.30, 625,057.16 and 117,162.75 is: 175,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,753.30 : 625,057.16 = 117,162.75 : x
  2. Step 2: Convert to fraction form
    416,753.30/625,057.16 = 117,162.75/x
  3. Step 3: Cross multiply
    416,753.30x = 625,057.16 × 117,162.75
  4. Step 4: Simplify right side
    416,753.30x = 73,233,417,530.94
  5. Step 5: Solve for x
    x = 73,233,417,530.94/416,753.30
  6. Step 6: Final answer
    x = 175,723.66

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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.