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Finding the Fourth Proportional to 491,417.38, 678,154.59 and 276,557.44

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Solution

The fourth proportional to 491,417.38, 678,154.59 and 276,557.44 is: 381,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,417.38 : 678,154.59 = 276,557.44 : x
  2. Step 2: Convert to fraction form
    491,417.38/678,154.59 = 276,557.44/x
  3. Step 3: Cross multiply
    491,417.38x = 678,154.59 × 276,557.44
  4. Step 4: Simplify right side
    491,417.38x = 187,548,696,910.80
  5. Step 5: Solve for x
    x = 187,548,696,910.80/491,417.38
  6. Step 6: Final answer
    x = 381,648.49

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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.