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Finding the Fourth Proportional to 471,398.11, 650,544.14 and 267,457.61

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Solution

The fourth proportional to 471,398.11, 650,544.14 and 267,457.61 is: 369,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,398.11 : 650,544.14 = 267,457.61 : x
  2. Step 2: Convert to fraction form
    471,398.11/650,544.14 = 267,457.61/x
  3. Step 3: Cross multiply
    471,398.11x = 650,544.14 × 267,457.61
  4. Step 4: Simplify right side
    471,398.11x = 173,992,983,178.91
  5. Step 5: Solve for x
    x = 173,992,983,178.91/471,398.11
  6. Step 6: Final answer
    x = 369,099.88

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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.