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Finding the Fourth Proportional to 412,872.59, 619,309.85 and 113,357.27

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Solution

The fourth proportional to 412,872.59, 619,309.85 and 113,357.27 is: 170,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,872.59 : 619,309.85 = 113,357.27 : x
  2. Step 2: Convert to fraction form
    412,872.59/619,309.85 = 113,357.27/x
  3. Step 3: Cross multiply
    412,872.59x = 619,309.85 × 113,357.27
  4. Step 4: Simplify right side
    412,872.59x = 70,203,270,216.77
  5. Step 5: Solve for x
    x = 70,203,270,216.77/412,872.59
  6. Step 6: Final answer
    x = 170,036.16

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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.