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Finding the Fourth Proportional to 463,474, 639,594.12 and 251,506

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Solution

The fourth proportional to 463,474, 639,594.12 and 251,506 is: 347,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,474 : 639,594.12 = 251,506 : x
  2. Step 2: Convert to fraction form
    463,474/639,594.12 = 251,506/x
  3. Step 3: Cross multiply
    463,474x = 639,594.12 × 251,506
  4. Step 4: Simplify right side
    463,474x = 160,861,758,744.72
  5. Step 5: Solve for x
    x = 160,861,758,744.72/463,474
  6. Step 6: Final answer
    x = 347,078.28

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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.