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Finding the Fourth Proportional to 412,879.90, 619,337.85 and 113,352.70

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Solution

The fourth proportional to 412,879.90, 619,337.85 and 113,352.70 is: 170,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,879.90 : 619,337.85 = 113,352.70 : x
  2. Step 2: Convert to fraction form
    412,879.90/619,337.85 = 113,352.70/x
  3. Step 3: Cross multiply
    412,879.90x = 619,337.85 × 113,352.70
  4. Step 4: Simplify right side
    412,879.90x = 70,203,617,509.70
  5. Step 5: Solve for x
    x = 70,203,617,509.70/412,879.90
  6. Step 6: Final answer
    x = 170,033.99

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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.