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Finding the Fourth Proportional to 410,118.40, 615,331.20 and 160,979.20

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Solution

The fourth proportional to 410,118.40, 615,331.20 and 160,979.20 is: 241,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,118.40 : 615,331.20 = 160,979.20 : x
  2. Step 2: Convert to fraction form
    410,118.40/615,331.20 = 160,979.20/x
  3. Step 3: Cross multiply
    410,118.40x = 615,331.20 × 160,979.20
  4. Step 4: Simplify right side
    410,118.40x = 99,055,524,311.04
  5. Step 5: Solve for x
    x = 99,055,524,311.04/410,118.40
  6. Step 6: Final answer
    x = 241,529.09

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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.