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Finding the Fourth Proportional to 410,016.20, 615,024.30 and 407,251.40

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Solution

The fourth proportional to 410,016.20, 615,024.30 and 407,251.40 is: 610,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,016.20 : 615,024.30 = 407,251.40 : x
  2. Step 2: Convert to fraction form
    410,016.20/615,024.30 = 407,251.40/x
  3. Step 3: Cross multiply
    410,016.20x = 615,024.30 × 407,251.40
  4. Step 4: Simplify right side
    410,016.20x = 250,469,507,209.02
  5. Step 5: Solve for x
    x = 250,469,507,209.02/410,016.20
  6. Step 6: Final answer
    x = 610,877.10

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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.