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Finding the Fourth Proportional to 410,589.23, 615,900.80 and 140,902.73

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Solution

The fourth proportional to 410,589.23, 615,900.80 and 140,902.73 is: 211,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,589.23 : 615,900.80 = 140,902.73 : x
  2. Step 2: Convert to fraction form
    410,589.23/615,900.80 = 140,902.73/x
  3. Step 3: Cross multiply
    410,589.23x = 615,900.80 × 140,902.73
  4. Step 4: Simplify right side
    410,589.23x = 86,782,104,129.18
  5. Step 5: Solve for x
    x = 86,782,104,129.18/410,589.23
  6. Step 6: Final answer
    x = 211,359.91

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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.