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Finding the Fourth Proportional to 468,400.32, 646,224.48 and 267,079.68

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Solution

The fourth proportional to 468,400.32, 646,224.48 and 267,079.68 is: 368,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,400.32 : 646,224.48 = 267,079.68 : x
  2. Step 2: Convert to fraction form
    468,400.32/646,224.48 = 267,079.68/x
  3. Step 3: Cross multiply
    468,400.32x = 646,224.48 × 267,079.68
  4. Step 4: Simplify right side
    468,400.32x = 172,593,427,326.57
  5. Step 5: Solve for x
    x = 172,593,427,326.57/468,400.32
  6. Step 6: Final answer
    x = 368,474.19

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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.