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Finding the Fourth Proportional to 411,227.60, 616,841.40 and 234,080.60

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Solution

The fourth proportional to 411,227.60, 616,841.40 and 234,080.60 is: 351,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,227.60 : 616,841.40 = 234,080.60 : x
  2. Step 2: Convert to fraction form
    411,227.60/616,841.40 = 234,080.60/x
  3. Step 3: Cross multiply
    411,227.60x = 616,841.40 × 234,080.60
  4. Step 4: Simplify right side
    411,227.60x = 144,390,605,016.84
  5. Step 5: Solve for x
    x = 144,390,605,016.84/411,227.60
  6. Step 6: Final answer
    x = 351,120.90

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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.