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Finding the Fourth Proportional to 412,857.59, 619,287.32 and 113,342.27

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Solution

The fourth proportional to 412,857.59, 619,287.32 and 113,342.27 is: 170,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,857.59 : 619,287.32 = 113,342.27 : x
  2. Step 2: Convert to fraction form
    412,857.59/619,287.32 = 113,342.27/x
  3. Step 3: Cross multiply
    412,857.59x = 619,287.32 × 113,342.27
  4. Step 4: Simplify right side
    412,857.59x = 70,191,427,817.94
  5. Step 5: Solve for x
    x = 70,191,427,817.94/412,857.59
  6. Step 6: Final answer
    x = 170,013.66

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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.