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Finding the Fourth Proportional to 279,352.92, 419,027.16 and 185,005.32

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Solution

The fourth proportional to 279,352.92, 419,027.16 and 185,005.32 is: 277,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,352.92 : 419,027.16 = 185,005.32 : x
  2. Step 2: Convert to fraction form
    279,352.92/419,027.16 = 185,005.32/x
  3. Step 3: Cross multiply
    279,352.92x = 419,027.16 × 185,005.32
  4. Step 4: Simplify right side
    279,352.92x = 77,522,253,824.49
  5. Step 5: Solve for x
    x = 77,522,253,824.49/279,352.92
  6. Step 6: Final answer
    x = 277,506.51

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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.