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Finding the Fourth Proportional to 410,110.20, 615,165.30 and 270,142.20

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Solution

The fourth proportional to 410,110.20, 615,165.30 and 270,142.20 is: 405,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,110.20 : 615,165.30 = 270,142.20 : x
  2. Step 2: Convert to fraction form
    410,110.20/615,165.30 = 270,142.20/x
  3. Step 3: Cross multiply
    410,110.20x = 615,165.30 × 270,142.20
  4. Step 4: Simplify right side
    410,110.20x = 166,182,107,505.66
  5. Step 5: Solve for x
    x = 166,182,107,505.66/410,110.20
  6. Step 6: Final answer
    x = 405,213.30

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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.