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Finding the Fourth Proportional to 471,911.53, 707,587.30 and 187,449.13

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Solution

The fourth proportional to 471,911.53, 707,587.30 and 187,449.13 is: 281,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,911.53 : 707,587.30 = 187,449.13 : x
  2. Step 2: Convert to fraction form
    471,911.53/707,587.30 = 187,449.13/x
  3. Step 3: Cross multiply
    471,911.53x = 707,587.30 × 187,449.13
  4. Step 4: Simplify right side
    471,911.53x = 132,636,619,308.87
  5. Step 5: Solve for x
    x = 132,636,619,308.87/471,911.53
  6. Step 6: Final answer
    x = 281,062.47

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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.