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Finding the Fourth Proportional to 411,097.60, 616,531.20 and 130,700.80

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Solution

The fourth proportional to 411,097.60, 616,531.20 and 130,700.80 is: 196,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,097.60 : 616,531.20 = 130,700.80 : x
  2. Step 2: Convert to fraction form
    411,097.60/616,531.20 = 130,700.80/x
  3. Step 3: Cross multiply
    411,097.60x = 616,531.20 × 130,700.80
  4. Step 4: Simplify right side
    411,097.60x = 80,581,121,064.96
  5. Step 5: Solve for x
    x = 80,581,121,064.96/411,097.60
  6. Step 6: Final answer
    x = 196,014.57

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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.