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Finding the Fourth Proportional to 463,473, 639,592.74 and 251,505

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Solution

The fourth proportional to 463,473, 639,592.74 and 251,505 is: 347,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,473 : 639,592.74 = 251,505 : x
  2. Step 2: Convert to fraction form
    463,473/639,592.74 = 251,505/x
  3. Step 3: Cross multiply
    463,473x = 639,592.74 × 251,505
  4. Step 4: Simplify right side
    463,473x = 160,860,772,073.70
  5. Step 5: Solve for x
    x = 160,860,772,073.70/463,473
  6. Step 6: Final answer
    x = 347,076.90

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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.