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Finding the Fourth Proportional to 410,287.11, 566,224.74 and 229,034.43

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Solution

The fourth proportional to 410,287.11, 566,224.74 and 229,034.43 is: 316,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,287.11 : 566,224.74 = 229,034.43 : x
  2. Step 2: Convert to fraction form
    410,287.11/566,224.74 = 229,034.43/x
  3. Step 3: Cross multiply
    410,287.11x = 566,224.74 × 229,034.43
  4. Step 4: Simplify right side
    410,287.11x = 129,684,960,577.80
  5. Step 5: Solve for x
    x = 129,684,960,577.80/410,287.11
  6. Step 6: Final answer
    x = 316,083.44

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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.