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Finding the Fourth Proportional to 305,414.10, 458,299.80 and 127,906.20

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Solution

The fourth proportional to 305,414.10, 458,299.80 and 127,906.20 is: 191,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,414.10 : 458,299.80 = 127,906.20 : x
  2. Step 2: Convert to fraction form
    305,414.10/458,299.80 = 127,906.20/x
  3. Step 3: Cross multiply
    305,414.10x = 458,299.80 × 127,906.20
  4. Step 4: Simplify right side
    305,414.10x = 58,619,385,878.76
  5. Step 5: Solve for x
    x = 58,619,385,878.76/305,414.10
  6. Step 6: Final answer
    x = 191,934.12

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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.