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Finding the Fourth Proportional to 298,231.76, 447,209.40 and 111,193.04

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Solution

The fourth proportional to 298,231.76, 447,209.40 and 111,193.04 is: 166,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,231.76 : 447,209.40 = 111,193.04 : x
  2. Step 2: Convert to fraction form
    298,231.76/447,209.40 = 111,193.04/x
  3. Step 3: Cross multiply
    298,231.76x = 447,209.40 × 111,193.04
  4. Step 4: Simplify right side
    298,231.76x = 49,726,572,702.58
  5. Step 5: Solve for x
    x = 49,726,572,702.58/298,231.76
  6. Step 6: Final answer
    x = 166,738.02

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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.