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Finding the Fourth Proportional to 462,098.44, 693,167.10 and 225,649.72

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Solution

The fourth proportional to 462,098.44, 693,167.10 and 225,649.72 is: 338,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,098.44 : 693,167.10 = 225,649.72 : x
  2. Step 2: Convert to fraction form
    462,098.44/693,167.10 = 225,649.72/x
  3. Step 3: Cross multiply
    462,098.44x = 693,167.10 × 225,649.72
  4. Step 4: Simplify right side
    462,098.44x = 156,412,962,028.21
  5. Step 5: Solve for x
    x = 156,412,962,028.21/462,098.44
  6. Step 6: Final answer
    x = 338,484.07

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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.