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Finding the Fourth Proportional to 276,974.36, 415,283.98 and 117,007

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Solution

The fourth proportional to 276,974.36, 415,283.98 and 117,007 is: 175,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,974.36 : 415,283.98 = 117,007 : x
  2. Step 2: Convert to fraction form
    276,974.36/415,283.98 = 117,007/x
  3. Step 3: Cross multiply
    276,974.36x = 415,283.98 × 117,007
  4. Step 4: Simplify right side
    276,974.36x = 48,591,132,647.86
  5. Step 5: Solve for x
    x = 48,591,132,647.86/276,974.36
  6. Step 6: Final answer
    x = 175,435.49

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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.