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Finding the Fourth Proportional to 471,713.52, 707,680.96 and 134,759

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Solution

The fourth proportional to 471,713.52, 707,680.96 and 134,759 is: 202,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,713.52 : 707,680.96 = 134,759 : x
  2. Step 2: Convert to fraction form
    471,713.52/707,680.96 = 134,759/x
  3. Step 3: Cross multiply
    471,713.52x = 707,680.96 × 134,759
  4. Step 4: Simplify right side
    471,713.52x = 95,366,378,488.64
  5. Step 5: Solve for x
    x = 95,366,378,488.64/471,713.52
  6. Step 6: Final answer
    x = 202,170.12

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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.