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Finding the Fourth Proportional to 349,463.88, 524,109.15 and 149,761.62

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Solution

The fourth proportional to 349,463.88, 524,109.15 and 149,761.62 is: 224,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,463.88 : 524,109.15 = 149,761.62 : x
  2. Step 2: Convert to fraction form
    349,463.88/524,109.15 = 149,761.62/x
  3. Step 3: Cross multiply
    349,463.88x = 524,109.15 × 149,761.62
  4. Step 4: Simplify right side
    349,463.88x = 78,491,435,360.82
  5. Step 5: Solve for x
    x = 78,491,435,360.82/349,463.88
  6. Step 6: Final answer
    x = 224,605.29

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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.