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Finding the Fourth Proportional to 463,853.28, 694,229.61 and 264,120.06

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Solution

The fourth proportional to 463,853.28, 694,229.61 and 264,120.06 is: 395,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,853.28 : 694,229.61 = 264,120.06 : x
  2. Step 2: Convert to fraction form
    463,853.28/694,229.61 = 264,120.06/x
  3. Step 3: Cross multiply
    463,853.28x = 694,229.61 × 264,120.06
  4. Step 4: Simplify right side
    463,853.28x = 183,359,966,246.98
  5. Step 5: Solve for x
    x = 183,359,966,246.98/463,853.28
  6. Step 6: Final answer
    x = 395,297.34

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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.