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Finding the Fourth Proportional to 257,947.20, 386,920.80 and 194,961.60

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Solution

The fourth proportional to 257,947.20, 386,920.80 and 194,961.60 is: 292,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,947.20 : 386,920.80 = 194,961.60 : x
  2. Step 2: Convert to fraction form
    257,947.20/386,920.80 = 194,961.60/x
  3. Step 3: Cross multiply
    257,947.20x = 386,920.80 × 194,961.60
  4. Step 4: Simplify right side
    257,947.20x = 75,434,698,241.28
  5. Step 5: Solve for x
    x = 75,434,698,241.28/257,947.20
  6. Step 6: Final answer
    x = 292,442.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.