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Finding the Fourth Proportional to 411,098.60, 616,532.70 and 130,701.80

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Solution

The fourth proportional to 411,098.60, 616,532.70 and 130,701.80 is: 196,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,098.60 : 616,532.70 = 130,701.80 : x
  2. Step 2: Convert to fraction form
    411,098.60/616,532.70 = 130,701.80/x
  3. Step 3: Cross multiply
    411,098.60x = 616,532.70 × 130,701.80
  4. Step 4: Simplify right side
    411,098.60x = 80,581,933,648.86
  5. Step 5: Solve for x
    x = 80,581,933,648.86/411,098.60
  6. Step 6: Final answer
    x = 196,016.07

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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.