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Finding the Fourth Proportional to 431,869.89, 595,978.95 and 240,883.14

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Solution

The fourth proportional to 431,869.89, 595,978.95 and 240,883.14 is: 332,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,869.89 : 595,978.95 = 240,883.14 : x
  2. Step 2: Convert to fraction form
    431,869.89/595,978.95 = 240,883.14/x
  3. Step 3: Cross multiply
    431,869.89x = 595,978.95 × 240,883.14
  4. Step 4: Simplify right side
    431,869.89x = 143,561,280,849.90
  5. Step 5: Solve for x
    x = 143,561,280,849.90/431,869.89
  6. Step 6: Final answer
    x = 332,417.90

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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.