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Finding the Fourth Proportional to 313,382.88, 469,752.54 and 123,766.38

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Solution

The fourth proportional to 313,382.88, 469,752.54 and 123,766.38 is: 185,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,382.88 : 469,752.54 = 123,766.38 : x
  2. Step 2: Convert to fraction form
    313,382.88/469,752.54 = 123,766.38/x
  3. Step 3: Cross multiply
    313,382.88x = 469,752.54 × 123,766.38
  4. Step 4: Simplify right side
    313,382.88x = 58,139,571,371.61
  5. Step 5: Solve for x
    x = 58,139,571,371.61/313,382.88
  6. Step 6: Final answer
    x = 185,522.49

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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.