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Finding the Fourth Proportional to 411,028.40, 616,542.60 and 234,081.20

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Solution

The fourth proportional to 411,028.40, 616,542.60 and 234,081.20 is: 351,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,028.40 : 616,542.60 = 234,081.20 : x
  2. Step 2: Convert to fraction form
    411,028.40/616,542.60 = 234,081.20/x
  3. Step 3: Cross multiply
    411,028.40x = 616,542.60 × 234,081.20
  4. Step 4: Simplify right side
    411,028.40x = 144,321,031,659.12
  5. Step 5: Solve for x
    x = 144,321,031,659.12/411,028.40
  6. Step 6: Final answer
    x = 351,121.80

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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.