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Finding the Fourth Proportional to 413,142.46, 619,642.44 and 109,538.75

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Solution

The fourth proportional to 413,142.46, 619,642.44 and 109,538.75 is: 164,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,142.46 : 619,642.44 = 109,538.75 : x
  2. Step 2: Convert to fraction form
    413,142.46/619,642.44 = 109,538.75/x
  3. Step 3: Cross multiply
    413,142.46x = 619,642.44 × 109,538.75
  4. Step 4: Simplify right side
    413,142.46x = 67,874,859,873.66
  5. Step 5: Solve for x
    x = 67,874,859,873.66/413,142.46
  6. Step 6: Final answer
    x = 164,289.24

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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.