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Finding the Fourth Proportional to 463,466, 639,583.08 and 251,498

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Solution

The fourth proportional to 463,466, 639,583.08 and 251,498 is: 347,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,466 : 639,583.08 = 251,498 : x
  2. Step 2: Convert to fraction form
    463,466/639,583.08 = 251,498/x
  3. Step 3: Cross multiply
    463,466x = 639,583.08 × 251,498
  4. Step 4: Simplify right side
    463,466x = 160,853,865,453.84
  5. Step 5: Solve for x
    x = 160,853,865,453.84/463,466
  6. Step 6: Final answer
    x = 347,067.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.