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Finding the Fourth Proportional to 393,693.60, 590,633.88 and 127,454.16

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Solution

The fourth proportional to 393,693.60, 590,633.88 and 127,454.16 is: 191,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,693.60 : 590,633.88 = 127,454.16 : x
  2. Step 2: Convert to fraction form
    393,693.60/590,633.88 = 127,454.16/x
  3. Step 3: Cross multiply
    393,693.60x = 590,633.88 × 127,454.16
  4. Step 4: Simplify right side
    393,693.60x = 75,278,745,042.94
  5. Step 5: Solve for x
    x = 75,278,745,042.94/393,693.60
  6. Step 6: Final answer
    x = 191,211.50

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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.