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Finding the Fourth Proportional to 471,664.32, 650,863.88 and 267,719.40

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Solution

The fourth proportional to 471,664.32, 650,863.88 and 267,719.40 is: 369,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,664.32 : 650,863.88 = 267,719.40 : x
  2. Step 2: Convert to fraction form
    471,664.32/650,863.88 = 267,719.40/x
  3. Step 3: Cross multiply
    471,664.32x = 650,863.88 × 267,719.40
  4. Step 4: Simplify right side
    471,664.32x = 174,248,887,435.27
  5. Step 5: Solve for x
    x = 174,248,887,435.27/471,664.32
  6. Step 6: Final answer
    x = 369,434.11

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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.