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Finding the Fourth Proportional to 412,876.60, 619,316.82 and 113,361.40

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Solution

The fourth proportional to 412,876.60, 619,316.82 and 113,361.40 is: 170,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,876.60 : 619,316.82 = 113,361.40 : x
  2. Step 2: Convert to fraction form
    412,876.60/619,316.82 = 113,361.40/x
  3. Step 3: Cross multiply
    412,876.60x = 619,316.82 × 113,361.40
  4. Step 4: Simplify right side
    412,876.60x = 70,206,621,758.75
  5. Step 5: Solve for x
    x = 70,206,621,758.75/412,876.60
  6. Step 6: Final answer
    x = 170,042.63

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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.