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Finding the Fourth Proportional to 311,597.30, 467,458.83 and 98,398.51

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Solution

The fourth proportional to 311,597.30, 467,458.83 and 98,398.51 is: 147,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,597.30 : 467,458.83 = 98,398.51 : x
  2. Step 2: Convert to fraction form
    311,597.30/467,458.83 = 98,398.51/x
  3. Step 3: Cross multiply
    311,597.30x = 467,458.83 × 98,398.51
  4. Step 4: Simplify right side
    311,597.30x = 45,997,251,189.70
  5. Step 5: Solve for x
    x = 45,997,251,189.70/311,597.30
  6. Step 6: Final answer
    x = 147,617.62

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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.