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Finding the Fourth Proportional to 313,175.52, 469,761.98 and 113,449.14

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Solution

The fourth proportional to 313,175.52, 469,761.98 and 113,449.14 is: 170,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,175.52 : 469,761.98 = 113,449.14 : x
  2. Step 2: Convert to fraction form
    313,175.52/469,761.98 = 113,449.14/x
  3. Step 3: Cross multiply
    313,175.52x = 469,761.98 × 113,449.14
  4. Step 4: Simplify right side
    313,175.52x = 53,294,092,635.70
  5. Step 5: Solve for x
    x = 53,294,092,635.70/313,175.52
  6. Step 6: Final answer
    x = 170,173.24

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1.5x scale

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.