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Finding the Fourth Proportional to 411,864.60, 616,760.10 and 270,859.80

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Solution

The fourth proportional to 411,864.60, 616,760.10 and 270,859.80 is: 405,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,864.60 : 616,760.10 = 270,859.80 : x
  2. Step 2: Convert to fraction form
    411,864.60/616,760.10 = 270,859.80/x
  3. Step 3: Cross multiply
    411,864.60x = 616,760.10 × 270,859.80
  4. Step 4: Simplify right side
    411,864.60x = 167,055,517,333.98
  5. Step 5: Solve for x
    x = 167,055,517,333.98/411,864.60
  6. Step 6: Final answer
    x = 405,607.86

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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.