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Finding the Fourth Proportional to 410,453.67, 566,402.27 and 229,177.08

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Solution

The fourth proportional to 410,453.67, 566,402.27 and 229,177.08 is: 316,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,453.67 : 566,402.27 = 229,177.08 : x
  2. Step 2: Convert to fraction form
    410,453.67/566,402.27 = 229,177.08/x
  3. Step 3: Cross multiply
    410,453.67x = 566,402.27 × 229,177.08
  4. Step 4: Simplify right side
    410,453.67x = 129,806,418,487.21
  5. Step 5: Solve for x
    x = 129,806,418,487.21/410,453.67
  6. Step 6: Final answer
    x = 316,251.08

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