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Finding the Fourth Proportional to 598,842.64, 826,367.76 and 326,856.64

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Solution

The fourth proportional to 598,842.64, 826,367.76 and 326,856.64 is: 451,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,842.64 : 826,367.76 = 326,856.64 : x
  2. Step 2: Convert to fraction form
    598,842.64/826,367.76 = 326,856.64/x
  3. Step 3: Cross multiply
    598,842.64x = 826,367.76 × 326,856.64
  4. Step 4: Simplify right side
    598,842.64x = 270,103,789,437.93
  5. Step 5: Solve for x
    x = 270,103,789,437.93/598,842.64
  6. Step 6: Final answer
    x = 451,043.01

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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.