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Finding the Fourth Proportional to 412,757.26, 619,197.40 and 146,495.46

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Solution

The fourth proportional to 412,757.26, 619,197.40 and 146,495.46 is: 219,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,757.26 : 619,197.40 = 146,495.46 : x
  2. Step 2: Convert to fraction form
    412,757.26/619,197.40 = 146,495.46/x
  3. Step 3: Cross multiply
    412,757.26x = 619,197.40 × 146,495.46
  4. Step 4: Simplify right side
    412,757.26x = 90,709,607,943.80
  5. Step 5: Solve for x
    x = 90,709,607,943.80/412,757.26
  6. Step 6: Final answer
    x = 219,765.02

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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.