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Finding the Fourth Proportional to 298,954.27, 448,467.85 and 109,385.11

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Solution

The fourth proportional to 298,954.27, 448,467.85 and 109,385.11 is: 164,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,954.27 : 448,467.85 = 109,385.11 : x
  2. Step 2: Convert to fraction form
    298,954.27/448,467.85 = 109,385.11/x
  3. Step 3: Cross multiply
    298,954.27x = 448,467.85 × 109,385.11
  4. Step 4: Simplify right side
    298,954.27x = 49,055,705,103.71
  5. Step 5: Solve for x
    x = 49,055,705,103.71/298,954.27
  6. Step 6: Final answer
    x = 164,091.00

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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.