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Finding the Fourth Proportional to 410,206.20, 615,309.30 and 291,233.40

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Solution

The fourth proportional to 410,206.20, 615,309.30 and 291,233.40 is: 436,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,206.20 : 615,309.30 = 291,233.40 : x
  2. Step 2: Convert to fraction form
    410,206.20/615,309.30 = 291,233.40/x
  3. Step 3: Cross multiply
    410,206.20x = 615,309.30 × 291,233.40
  4. Step 4: Simplify right side
    410,206.20x = 179,198,619,490.62
  5. Step 5: Solve for x
    x = 179,198,619,490.62/410,206.20
  6. Step 6: Final answer
    x = 436,850.10

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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.