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Finding the Fourth Proportional to 410,523.70, 615,785.55 and 242,562.10

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Solution

The fourth proportional to 410,523.70, 615,785.55 and 242,562.10 is: 363,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,523.70 : 615,785.55 = 242,562.10 : x
  2. Step 2: Convert to fraction form
    410,523.70/615,785.55 = 242,562.10/x
  3. Step 3: Cross multiply
    410,523.70x = 615,785.55 × 242,562.10
  4. Step 4: Simplify right side
    410,523.70x = 149,366,236,157.66
  5. Step 5: Solve for x
    x = 149,366,236,157.66/410,523.70
  6. Step 6: Final answer
    x = 363,843.15

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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.