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Finding the Fourth Proportional to 338,382.75, 466,968.13 and 202,422.43

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Solution

The fourth proportional to 338,382.75, 466,968.13 and 202,422.43 is: 279,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,382.75 : 466,968.13 = 202,422.43 : x
  2. Step 2: Convert to fraction form
    338,382.75/466,968.13 = 202,422.43/x
  3. Step 3: Cross multiply
    338,382.75x = 466,968.13 × 202,422.43
  4. Step 4: Simplify right side
    338,382.75x = 94,524,823,607.16
  5. Step 5: Solve for x
    x = 94,524,823,607.16/338,382.75
  6. Step 6: Final answer
    x = 279,342.91

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1.5x scale

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.