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Finding the Fourth Proportional to 410,748.67, 566,826.91 and 229,463.20

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Solution

The fourth proportional to 410,748.67, 566,826.91 and 229,463.20 is: 316,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,748.67 : 566,826.91 = 229,463.20 : x
  2. Step 2: Convert to fraction form
    410,748.67/566,826.91 = 229,463.20/x
  3. Step 3: Cross multiply
    410,748.67x = 566,826.91 × 229,463.20
  4. Step 4: Simplify right side
    410,748.67x = 130,065,916,614.71
  5. Step 5: Solve for x
    x = 130,065,916,614.71/410,748.67
  6. Step 6: Final answer
    x = 316,655.72

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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.