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Finding the Fourth Proportional to 502,575.10, 753,512.73 and 186,947.26

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Solution

The fourth proportional to 502,575.10, 753,512.73 and 186,947.26 is: 280,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,575.10 : 753,512.73 = 186,947.26 : x
  2. Step 2: Convert to fraction form
    502,575.10/753,512.73 = 186,947.26/x
  3. Step 3: Cross multiply
    502,575.10x = 753,512.73 × 186,947.26
  4. Step 4: Simplify right side
    502,575.10x = 140,867,140,248.62
  5. Step 5: Solve for x
    x = 140,867,140,248.62/502,575.10
  6. Step 6: Final answer
    x = 280,290.73

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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.