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Finding the Fourth Proportional to 598,138.56, 825,431.92 and 326,206.88

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Solution

The fourth proportional to 598,138.56, 825,431.92 and 326,206.88 is: 450,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,138.56 : 825,431.92 = 326,206.88 : x
  2. Step 2: Convert to fraction form
    598,138.56/825,431.92 = 326,206.88/x
  3. Step 3: Cross multiply
    598,138.56x = 825,431.92 × 326,206.88
  4. Step 4: Simplify right side
    598,138.56x = 269,261,571,275.61
  5. Step 5: Solve for x
    x = 269,261,571,275.61/598,138.56
  6. Step 6: Final answer
    x = 450,165.88

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1.5x scale

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.