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Finding the Fourth Proportional to 463,194.49, 694,310.02 and 179,080.17

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Solution

The fourth proportional to 463,194.49, 694,310.02 and 179,080.17 is: 268,434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,194.49 : 694,310.02 = 179,080.17 : x
  2. Step 2: Convert to fraction form
    463,194.49/694,310.02 = 179,080.17/x
  3. Step 3: Cross multiply
    463,194.49x = 694,310.02 × 179,080.17
  4. Step 4: Simplify right side
    463,194.49x = 124,337,155,518.90
  5. Step 5: Solve for x
    x = 124,337,155,518.90/463,194.49
  6. Step 6: Final answer
    x = 268,434.01

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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.