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Finding the Fourth Proportional to 298,456.60, 447,717.70 and 98,704.22

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Solution

The fourth proportional to 298,456.60, 447,717.70 and 98,704.22 is: 148,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,456.60 : 447,717.70 = 98,704.22 : x
  2. Step 2: Convert to fraction form
    298,456.60/447,717.70 = 98,704.22/x
  3. Step 3: Cross multiply
    298,456.60x = 447,717.70 × 98,704.22
  4. Step 4: Simplify right side
    298,456.60x = 44,191,626,358.69
  5. Step 5: Solve for x
    x = 44,191,626,358.69/298,456.60
  6. Step 6: Final answer
    x = 148,067.18

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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.