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Finding the Fourth Proportional to 386,498.28, 579,912.67 and 199,641.00

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Solution

The fourth proportional to 386,498.28, 579,912.67 and 199,641.00 is: 299,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,498.28 : 579,912.67 = 199,641.00 : x
  2. Step 2: Convert to fraction form
    386,498.28/579,912.67 = 199,641.00/x
  3. Step 3: Cross multiply
    386,498.28x = 579,912.67 × 199,641.00
  4. Step 4: Simplify right side
    386,498.28x = 115,774,346,652.71
  5. Step 5: Solve for x
    x = 115,774,346,652.71/386,498.28
  6. Step 6: Final answer
    x = 299,546.86

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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.