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Finding the Fourth Proportional to 409,310.52, 564,698.70 and 248,049.24

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Solution

The fourth proportional to 409,310.52, 564,698.70 and 248,049.24 is: 342,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,310.52 : 564,698.70 = 248,049.24 : x
  2. Step 2: Convert to fraction form
    409,310.52/564,698.70 = 248,049.24/x
  3. Step 3: Cross multiply
    409,310.52x = 564,698.70 × 248,049.24
  4. Step 4: Simplify right side
    409,310.52x = 140,073,083,363.99
  5. Step 5: Solve for x
    x = 140,073,083,363.99/409,310.52
  6. Step 6: Final answer
    x = 342,217.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.