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Finding the Fourth Proportional to 513,301.17, 769,896.29 and 171,705.88

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Solution

The fourth proportional to 513,301.17, 769,896.29 and 171,705.88 is: 257,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,301.17 : 769,896.29 = 171,705.88 : x
  2. Step 2: Convert to fraction form
    513,301.17/769,896.29 = 171,705.88/x
  3. Step 3: Cross multiply
    513,301.17x = 769,896.29 × 171,705.88
  4. Step 4: Simplify right side
    513,301.17x = 132,195,715,275.17
  5. Step 5: Solve for x
    x = 132,195,715,275.17/513,301.17
  6. Step 6: Final answer
    x = 257,540.26

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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.