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Finding the Fourth Proportional to 409,901.30, 614,523.90 and 173,049.20

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Solution

The fourth proportional to 409,901.30, 614,523.90 and 173,049.20 is: 259,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,901.30 : 614,523.90 = 173,049.20 : x
  2. Step 2: Convert to fraction form
    409,901.30/614,523.90 = 173,049.20/x
  3. Step 3: Cross multiply
    409,901.30x = 614,523.90 × 173,049.20
  4. Step 4: Simplify right side
    409,901.30x = 106,342,869,275.88
  5. Step 5: Solve for x
    x = 106,342,869,275.88/409,901.30
  6. Step 6: Final answer
    x = 259,435.31

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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.