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Finding the Fourth Proportional to 502,871.28, 754,146.53 and 165,849.11

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Solution

The fourth proportional to 502,871.28, 754,146.53 and 165,849.11 is: 248,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,871.28 : 754,146.53 = 165,849.11 : x
  2. Step 2: Convert to fraction form
    502,871.28/754,146.53 = 165,849.11/x
  3. Step 3: Cross multiply
    502,871.28x = 754,146.53 × 165,849.11
  4. Step 4: Simplify right side
    502,871.28x = 125,074,530,810.09
  5. Step 5: Solve for x
    x = 125,074,530,810.09/502,871.28
  6. Step 6: Final answer
    x = 248,720.77

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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.