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Finding the Fourth Proportional to 502,086.60, 752,473.80 and 202,321.80

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Solution

The fourth proportional to 502,086.60, 752,473.80 and 202,321.80 is: 303,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,086.60 : 752,473.80 = 202,321.80 : x
  2. Step 2: Convert to fraction form
    502,086.60/752,473.80 = 202,321.80/x
  3. Step 3: Cross multiply
    502,086.60x = 752,473.80 × 202,321.80
  4. Step 4: Simplify right side
    502,086.60x = 152,241,853,668.84
  5. Step 5: Solve for x
    x = 152,241,853,668.84/502,086.60
  6. Step 6: Final answer
    x = 303,218.32

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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.