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Finding the Fourth Proportional to 502,817.71, 754,249.80 and 165,887.81

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Solution

The fourth proportional to 502,817.71, 754,249.80 and 165,887.81 is: 248,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,817.71 : 754,249.80 = 165,887.81 : x
  2. Step 2: Convert to fraction form
    502,817.71/754,249.80 = 165,887.81/x
  3. Step 3: Cross multiply
    502,817.71x = 754,249.80 × 165,887.81
  4. Step 4: Simplify right side
    502,817.71x = 125,120,847,251.17
  5. Step 5: Solve for x
    x = 125,120,847,251.17/502,817.71
  6. Step 6: Final answer
    x = 248,839.38

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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.