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Finding the Fourth Proportional to 403,882.71, 605,933.15 and 123,392.31

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Solution

The fourth proportional to 403,882.71, 605,933.15 and 123,392.31 is: 185,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,882.71 : 605,933.15 = 123,392.31 : x
  2. Step 2: Convert to fraction form
    403,882.71/605,933.15 = 123,392.31/x
  3. Step 3: Cross multiply
    403,882.71x = 605,933.15 × 123,392.31
  4. Step 4: Simplify right side
    403,882.71x = 74,767,491,084.08
  5. Step 5: Solve for x
    x = 74,767,491,084.08/403,882.71
  6. Step 6: Final answer
    x = 185,121.79

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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.