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Finding the Fourth Proportional to 298,617.84, 447,910.56 and 121,077.18

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Solution

The fourth proportional to 298,617.84, 447,910.56 and 121,077.18 is: 181,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,617.84 : 447,910.56 = 121,077.18 : x
  2. Step 2: Convert to fraction form
    298,617.84/447,910.56 = 121,077.18/x
  3. Step 3: Cross multiply
    298,617.84x = 447,910.56 × 121,077.18
  4. Step 4: Simplify right side
    298,617.84x = 54,231,747,497.02
  5. Step 5: Solve for x
    x = 54,231,747,497.02/298,617.84
  6. Step 6: Final answer
    x = 181,609.20

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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.