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Finding the Fourth Proportional to 301,034.28, 415,422.50 and 165,069.40

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Solution

The fourth proportional to 301,034.28, 415,422.50 and 165,069.40 is: 227,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,034.28 : 415,422.50 = 165,069.40 : x
  2. Step 2: Convert to fraction form
    301,034.28/415,422.50 = 165,069.40/x
  3. Step 3: Cross multiply
    301,034.28x = 415,422.50 × 165,069.40
  4. Step 4: Simplify right side
    301,034.28x = 68,573,542,515.43
  5. Step 5: Solve for x
    x = 68,573,542,515.43/301,034.28
  6. Step 6: Final answer
    x = 227,793.14

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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.