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Finding the Fourth Proportional to 502,076.52, 753,115.05 and 315,219.24

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Solution

The fourth proportional to 502,076.52, 753,115.05 and 315,219.24 is: 472,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,076.52 : 753,115.05 = 315,219.24 : x
  2. Step 2: Convert to fraction form
    502,076.52/753,115.05 = 315,219.24/x
  3. Step 3: Cross multiply
    502,076.52x = 753,115.05 × 315,219.24
  4. Step 4: Simplify right side
    502,076.52x = 237,396,353,693.56
  5. Step 5: Solve for x
    x = 237,396,353,693.56/502,076.52
  6. Step 6: Final answer
    x = 472,829.03

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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.