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Finding the Fourth Proportional to 298,454.56, 447,866.16 and 120,963.04

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Solution

The fourth proportional to 298,454.56, 447,866.16 and 120,963.04 is: 181,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,454.56 : 447,866.16 = 120,963.04 : x
  2. Step 2: Convert to fraction form
    298,454.56/447,866.16 = 120,963.04/x
  3. Step 3: Cross multiply
    298,454.56x = 447,866.16 × 120,963.04
  4. Step 4: Simplify right side
    298,454.56x = 54,175,252,226.73
  5. Step 5: Solve for x
    x = 54,175,252,226.73/298,454.56
  6. Step 6: Final answer
    x = 181,519.26

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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.