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Finding the Fourth Proportional to 274,314.38, 378,538.62 and 153,432.34

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Solution

The fourth proportional to 274,314.38, 378,538.62 and 153,432.34 is: 211,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,314.38 : 378,538.62 = 153,432.34 : x
  2. Step 2: Convert to fraction form
    274,314.38/378,538.62 = 153,432.34/x
  3. Step 3: Cross multiply
    274,314.38x = 378,538.62 × 153,432.34
  4. Step 4: Simplify right side
    274,314.38x = 58,080,066,246.97
  5. Step 5: Solve for x
    x = 58,080,066,246.97/274,314.38
  6. Step 6: Final answer
    x = 211,728.11

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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.