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Finding the Fourth Proportional to 370,470.38, 511,245.92 and 200,704.10

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Solution

The fourth proportional to 370,470.38, 511,245.92 and 200,704.10 is: 276,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,470.38 : 511,245.92 = 200,704.10 : x
  2. Step 2: Convert to fraction form
    370,470.38/511,245.92 = 200,704.10/x
  3. Step 3: Cross multiply
    370,470.38x = 511,245.92 × 200,704.10
  4. Step 4: Simplify right side
    370,470.38x = 102,609,151,248.75
  5. Step 5: Solve for x
    x = 102,609,151,248.75/370,470.38
  6. Step 6: Final answer
    x = 276,969.92

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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.