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Finding the Fourth Proportional to 410,204.20, 615,306.30 and 291,231.40

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Solution

The fourth proportional to 410,204.20, 615,306.30 and 291,231.40 is: 436,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,204.20 : 615,306.30 = 291,231.40 : x
  2. Step 2: Convert to fraction form
    410,204.20/615,306.30 = 291,231.40/x
  3. Step 3: Cross multiply
    410,204.20x = 615,306.30 × 291,231.40
  4. Step 4: Simplify right side
    410,204.20x = 179,196,515,177.82
  5. Step 5: Solve for x
    x = 179,196,515,177.82/410,204.20
  6. Step 6: Final answer
    x = 436,847.10

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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.