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Finding the Fourth Proportional to 431,672.34, 595,685.97 and 240,648.78

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Solution

The fourth proportional to 431,672.34, 595,685.97 and 240,648.78 is: 332,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,672.34 : 595,685.97 = 240,648.78 : x
  2. Step 2: Convert to fraction form
    431,672.34/595,685.97 = 240,648.78/x
  3. Step 3: Cross multiply
    431,672.34x = 595,685.97 × 240,648.78
  4. Step 4: Simplify right side
    431,672.34x = 143,351,101,943.62
  5. Step 5: Solve for x
    x = 143,351,101,943.62/431,672.34
  6. Step 6: Final answer
    x = 332,083.13

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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.