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Finding the Fourth Proportional to 410,245.97, 615,465.60 and 140,377.04

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Solution

The fourth proportional to 410,245.97, 615,465.60 and 140,377.04 is: 210,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,245.97 : 615,465.60 = 140,377.04 : x
  2. Step 2: Convert to fraction form
    410,245.97/615,465.60 = 140,377.04/x
  3. Step 3: Cross multiply
    410,245.97x = 615,465.60 × 140,377.04
  4. Step 4: Simplify right side
    410,245.97x = 86,397,236,072.50
  5. Step 5: Solve for x
    x = 86,397,236,072.50/410,245.97
  6. Step 6: Final answer
    x = 210,598.62

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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.