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Finding the Fourth Proportional to 502,092.10, 752,482.05 and 202,327.30

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Solution

The fourth proportional to 502,092.10, 752,482.05 and 202,327.30 is: 303,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,092.10 : 752,482.05 = 202,327.30 : x
  2. Step 2: Convert to fraction form
    502,092.10/752,482.05 = 202,327.30/x
  3. Step 3: Cross multiply
    502,092.10x = 752,482.05 × 202,327.30
  4. Step 4: Simplify right side
    502,092.10x = 152,247,661,474.97
  5. Step 5: Solve for x
    x = 152,247,661,474.97/502,092.10
  6. Step 6: Final answer
    x = 303,226.56

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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.