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Finding the Fourth Proportional to 298,794.17, 448,331.13 and 149,046.02

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Solution

The fourth proportional to 298,794.17, 448,331.13 and 149,046.02 is: 223,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,794.17 : 448,331.13 = 149,046.02 : x
  2. Step 2: Convert to fraction form
    298,794.17/448,331.13 = 149,046.02/x
  3. Step 3: Cross multiply
    298,794.17x = 448,331.13 × 149,046.02
  4. Step 4: Simplify right side
    298,794.17x = 66,821,972,110.86
  5. Step 5: Solve for x
    x = 66,821,972,110.86/298,794.17
  6. Step 6: Final answer
    x = 223,638.81

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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.