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Finding the Fourth Proportional to 449,401.68, 674,116.32 and 196,552.08

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Solution

The fourth proportional to 449,401.68, 674,116.32 and 196,552.08 is: 294,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,401.68 : 674,116.32 = 196,552.08 : x
  2. Step 2: Convert to fraction form
    449,401.68/674,116.32 = 196,552.08/x
  3. Step 3: Cross multiply
    449,401.68x = 674,116.32 × 196,552.08
  4. Step 4: Simplify right side
    449,401.68x = 132,498,964,857.95
  5. Step 5: Solve for x
    x = 132,498,964,857.95/449,401.68
  6. Step 6: Final answer
    x = 294,834.16

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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.