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Finding the Fourth Proportional to 300,514.32, 414,709.92 and 187,337.52

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Solution

The fourth proportional to 300,514.32, 414,709.92 and 187,337.52 is: 258,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,514.32 : 414,709.92 = 187,337.52 : x
  2. Step 2: Convert to fraction form
    300,514.32/414,709.92 = 187,337.52/x
  3. Step 3: Cross multiply
    300,514.32x = 414,709.92 × 187,337.52
  4. Step 4: Simplify right side
    300,514.32x = 77,690,727,932.20
  5. Step 5: Solve for x
    x = 77,690,727,932.20/300,514.32
  6. Step 6: Final answer
    x = 258,525.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.