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Finding the Fourth Proportional to 338,382.54, 466,967.89 and 202,422.21

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Solution

The fourth proportional to 338,382.54, 466,967.89 and 202,422.21 is: 279,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,382.54 : 466,967.89 = 202,422.21 : x
  2. Step 2: Convert to fraction form
    338,382.54/466,967.89 = 202,422.21/x
  3. Step 3: Cross multiply
    338,382.54x = 466,967.89 × 202,422.21
  4. Step 4: Simplify right side
    338,382.54x = 94,524,672,292.84
  5. Step 5: Solve for x
    x = 94,524,672,292.84/338,382.54
  6. Step 6: Final answer
    x = 279,342.64

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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.