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Finding the Fourth Proportional to 299,476.60, 449,214.90 and 277,825.30

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Solution

The fourth proportional to 299,476.60, 449,214.90 and 277,825.30 is: 416,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,476.60 : 449,214.90 = 277,825.30 : x
  2. Step 2: Convert to fraction form
    299,476.60/449,214.90 = 277,825.30/x
  3. Step 3: Cross multiply
    299,476.60x = 449,214.90 × 277,825.30
  4. Step 4: Simplify right side
    299,476.60x = 124,803,264,356.97
  5. Step 5: Solve for x
    x = 124,803,264,356.97/299,476.60
  6. Step 6: Final answer
    x = 416,737.95

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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.