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Finding the Fourth Proportional to 410,234.73, 615,424.32 and 140,299.41

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Solution

The fourth proportional to 410,234.73, 615,424.32 and 140,299.41 is: 210,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,234.73 : 615,424.32 = 140,299.41 : x
  2. Step 2: Convert to fraction form
    410,234.73/615,424.32 = 140,299.41/x
  3. Step 3: Cross multiply
    410,234.73x = 615,424.32 × 140,299.41
  4. Step 4: Simplify right side
    410,234.73x = 86,343,668,995.65
  5. Step 5: Solve for x
    x = 86,343,668,995.65/410,234.73
  6. Step 6: Final answer
    x = 210,473.82

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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.