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Finding the Fourth Proportional to 349,472.44, 523,319.28 and 230,966.20

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Solution

The fourth proportional to 349,472.44, 523,319.28 and 230,966.20 is: 345,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,472.44 : 523,319.28 = 230,966.20 : x
  2. Step 2: Convert to fraction form
    349,472.44/523,319.28 = 230,966.20/x
  3. Step 3: Cross multiply
    349,472.44x = 523,319.28 × 230,966.20
  4. Step 4: Simplify right side
    349,472.44x = 120,869,065,488.34
  5. Step 5: Solve for x
    x = 120,869,065,488.34/349,472.44
  6. Step 6: Final answer
    x = 345,861.51

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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.