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Finding the Fourth Proportional to 411,738.38, 567,747.76 and 268,232.30

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Solution

The fourth proportional to 411,738.38, 567,747.76 and 268,232.30 is: 369,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,738.38 : 567,747.76 = 268,232.30 : x
  2. Step 2: Convert to fraction form
    411,738.38/567,747.76 = 268,232.30/x
  3. Step 3: Cross multiply
    411,738.38x = 567,747.76 × 268,232.30
  4. Step 4: Simplify right side
    411,738.38x = 152,288,287,484.65
  5. Step 5: Solve for x
    x = 152,288,287,484.65/411,738.38
  6. Step 6: Final answer
    x = 369,866.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.