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Finding the Fourth Proportional to 412,876.08, 619,315.12 and 113,360.80

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Solution

The fourth proportional to 412,876.08, 619,315.12 and 113,360.80 is: 170,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,876.08 : 619,315.12 = 113,360.80 : x
  2. Step 2: Convert to fraction form
    412,876.08/619,315.12 = 113,360.80/x
  3. Step 3: Cross multiply
    412,876.08x = 619,315.12 × 113,360.80
  4. Step 4: Simplify right side
    412,876.08x = 70,206,057,455.30
  5. Step 5: Solve for x
    x = 70,206,057,455.30/412,876.08
  6. Step 6: Final answer
    x = 170,041.47

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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.