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Finding the Fourth Proportional to 502,871.40, 754,146.72 and 165,849.23

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Solution

The fourth proportional to 502,871.40, 754,146.72 and 165,849.23 is: 248,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,871.40 : 754,146.72 = 165,849.23 : x
  2. Step 2: Convert to fraction form
    502,871.40/754,146.72 = 165,849.23/x
  3. Step 3: Cross multiply
    502,871.40x = 754,146.72 × 165,849.23
  4. Step 4: Simplify right side
    502,871.40x = 125,074,654,704.39
  5. Step 5: Solve for x
    x = 125,074,654,704.39/502,871.40
  6. Step 6: Final answer
    x = 248,720.95

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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.