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Finding the Fourth Proportional to 349,309.61, 523,964.34 and 149,500.43

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Solution

The fourth proportional to 349,309.61, 523,964.34 and 149,500.43 is: 224,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,309.61 : 523,964.34 = 149,500.43 : x
  2. Step 2: Convert to fraction form
    349,309.61/523,964.34 = 149,500.43/x
  3. Step 3: Cross multiply
    349,309.61x = 523,964.34 × 149,500.43
  4. Step 4: Simplify right side
    349,309.61x = 78,332,891,514.84
  5. Step 5: Solve for x
    x = 78,332,891,514.84/349,309.61
  6. Step 6: Final answer
    x = 224,250.61

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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.