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Finding the Fourth Proportional to 410,837.89, 566,952.38 and 229,581.04

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Solution

The fourth proportional to 410,837.89, 566,952.38 and 229,581.04 is: 316,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,837.89 : 566,952.38 = 229,581.04 : x
  2. Step 2: Convert to fraction form
    410,837.89/566,952.38 = 229,581.04/x
  3. Step 3: Cross multiply
    410,837.89x = 566,952.38 × 229,581.04
  4. Step 4: Simplify right side
    410,837.89x = 130,161,514,770.07
  5. Step 5: Solve for x
    x = 130,161,514,770.07/410,837.89
  6. Step 6: Final answer
    x = 316,819.65

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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.