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Finding the Fourth Proportional to 311,596.80, 467,458.07 and 98,398.02

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Solution

The fourth proportional to 311,596.80, 467,458.07 and 98,398.02 is: 147,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,596.80 : 467,458.07 = 98,398.02 : x
  2. Step 2: Convert to fraction form
    311,596.80/467,458.07 = 98,398.02/x
  3. Step 3: Cross multiply
    311,596.80x = 467,458.07 × 98,398.02
  4. Step 4: Simplify right side
    311,596.80x = 45,996,946,429.73
  5. Step 5: Solve for x
    x = 45,996,946,429.73/311,596.80
  6. Step 6: Final answer
    x = 147,616.88

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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.