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Finding the Fourth Proportional to 471,360.31, 650,491.90 and 267,419.83

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Solution

The fourth proportional to 471,360.31, 650,491.90 and 267,419.83 is: 369,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,360.31 : 650,491.90 = 267,419.83 : x
  2. Step 2: Convert to fraction form
    471,360.31/650,491.90 = 267,419.83/x
  3. Step 3: Cross multiply
    471,360.31x = 650,491.90 × 267,419.83
  4. Step 4: Simplify right side
    471,360.31x = 173,954,433,314.38
  5. Step 5: Solve for x
    x = 173,954,433,314.38/471,360.31
  6. Step 6: Final answer
    x = 369,047.69

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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.