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Finding the Fourth Proportional to 502,049.28, 753,219.68 and 202,375.20

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Solution

The fourth proportional to 502,049.28, 753,219.68 and 202,375.20 is: 303,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,049.28 : 753,219.68 = 202,375.20 : x
  2. Step 2: Convert to fraction form
    502,049.28/753,219.68 = 202,375.20/x
  3. Step 3: Cross multiply
    502,049.28x = 753,219.68 × 202,375.20
  4. Step 4: Simplify right side
    502,049.28x = 152,432,983,383.94
  5. Step 5: Solve for x
    x = 152,432,983,383.94/502,049.28
  6. Step 6: Final answer
    x = 303,621.56

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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.