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Finding the Fourth Proportional to 392,382.72, 541,488 and 222,650.88

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Solution

The fourth proportional to 392,382.72, 541,488 and 222,650.88 is: 307,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,382.72 : 541,488 = 222,650.88 : x
  2. Step 2: Convert to fraction form
    392,382.72/541,488 = 222,650.88/x
  3. Step 3: Cross multiply
    392,382.72x = 541,488 × 222,650.88
  4. Step 4: Simplify right side
    392,382.72x = 120,562,779,709.44
  5. Step 5: Solve for x
    x = 120,562,779,709.44/392,382.72
  6. Step 6: Final answer
    x = 307,258.13

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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.