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Finding the Fourth Proportional to 410,829.30, 616,301.55 and 161,453.30

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Solution

The fourth proportional to 410,829.30, 616,301.55 and 161,453.30 is: 242,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,829.30 : 616,301.55 = 161,453.30 : x
  2. Step 2: Convert to fraction form
    410,829.30/616,301.55 = 161,453.30/x
  3. Step 3: Cross multiply
    410,829.30x = 616,301.55 × 161,453.30
  4. Step 4: Simplify right side
    410,829.30x = 99,503,919,042.62
  5. Step 5: Solve for x
    x = 99,503,919,042.62/410,829.30
  6. Step 6: Final answer
    x = 242,202.59

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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.