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Finding the Fourth Proportional to 627,963.88, 941,274.78 and 456,775.24

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Solution

The fourth proportional to 627,963.88, 941,274.78 and 456,775.24 is: 684,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,963.88 : 941,274.78 = 456,775.24 : x
  2. Step 2: Convert to fraction form
    627,963.88/941,274.78 = 456,775.24/x
  3. Step 3: Cross multiply
    627,963.88x = 941,274.78 × 456,775.24
  4. Step 4: Simplify right side
    627,963.88x = 429,951,013,540.45
  5. Step 5: Solve for x
    x = 429,951,013,540.45/627,963.88
  6. Step 6: Final answer
    x = 684,674.75

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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.