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Finding the Fourth Proportional to 502,029.17, 753,191.39 and 202,355.50

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Solution

The fourth proportional to 502,029.17, 753,191.39 and 202,355.50 is: 303,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,029.17 : 753,191.39 = 202,355.50 : x
  2. Step 2: Convert to fraction form
    502,029.17/753,191.39 = 202,355.50/x
  3. Step 3: Cross multiply
    502,029.17x = 753,191.39 × 202,355.50
  4. Step 4: Simplify right side
    502,029.17x = 152,412,420,354.29
  5. Step 5: Solve for x
    x = 152,412,420,354.29/502,029.17
  6. Step 6: Final answer
    x = 303,592.76

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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.