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Finding the Fourth Proportional to 411,275.88, 567,537.17 and 227,503.49

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Solution

The fourth proportional to 411,275.88, 567,537.17 and 227,503.49 is: 313,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,275.88 : 567,537.17 = 227,503.49 : x
  2. Step 2: Convert to fraction form
    411,275.88/567,537.17 = 227,503.49/x
  3. Step 3: Cross multiply
    411,275.88x = 567,537.17 × 227,503.49
  4. Step 4: Simplify right side
    411,275.88x = 129,116,682,904.52
  5. Step 5: Solve for x
    x = 129,116,682,904.52/411,275.88
  6. Step 6: Final answer
    x = 313,941.78

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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.