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Finding the Fourth Proportional to 411,121.41, 567,351.77 and 229,843.41

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Solution

The fourth proportional to 411,121.41, 567,351.77 and 229,843.41 is: 317,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,121.41 : 567,351.77 = 229,843.41 : x
  2. Step 2: Convert to fraction form
    411,121.41/567,351.77 = 229,843.41/x
  3. Step 3: Cross multiply
    411,121.41x = 567,351.77 × 229,843.41
  4. Step 4: Simplify right side
    411,121.41x = 130,402,064,337.12
  5. Step 5: Solve for x
    x = 130,402,064,337.12/411,121.41
  6. Step 6: Final answer
    x = 317,186.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.