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Finding the Fourth Proportional to 314,517.70, 471,382.88 and 247,693.91

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Solution

The fourth proportional to 314,517.70, 471,382.88 and 247,693.91 is: 371,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,517.70 : 471,382.88 = 247,693.91 : x
  2. Step 2: Convert to fraction form
    314,517.70/471,382.88 = 247,693.91/x
  3. Step 3: Cross multiply
    314,517.70x = 471,382.88 × 247,693.91
  4. Step 4: Simplify right side
    314,517.70x = 116,758,670,451.95
  5. Step 5: Solve for x
    x = 116,758,670,451.95/314,517.70
  6. Step 6: Final answer
    x = 371,230.84

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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.