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Finding the Fourth Proportional to 598,209.57, 825,538.17 and 326,276.48

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Solution

The fourth proportional to 598,209.57, 825,538.17 and 326,276.48 is: 450,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,209.57 : 825,538.17 = 326,276.48 : x
  2. Step 2: Convert to fraction form
    598,209.57/825,538.17 = 326,276.48/x
  3. Step 3: Cross multiply
    598,209.57x = 825,538.17 × 326,276.48
  4. Step 4: Simplify right side
    598,209.57x = 269,353,684,085.55
  5. Step 5: Solve for x
    x = 269,353,684,085.55/598,209.57
  6. Step 6: Final answer
    x = 450,266.42

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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.