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Finding the Fourth Proportional to 310,200.25, 465,531.98 and 230,422.43

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Solution

The fourth proportional to 310,200.25, 465,531.98 and 230,422.43 is: 345,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,200.25 : 465,531.98 = 230,422.43 : x
  2. Step 2: Convert to fraction form
    310,200.25/465,531.98 = 230,422.43/x
  3. Step 3: Cross multiply
    310,200.25x = 465,531.98 × 230,422.43
  4. Step 4: Simplify right side
    310,200.25x = 107,269,006,594.54
  5. Step 5: Solve for x
    x = 107,269,006,594.54/310,200.25
  6. Step 6: Final answer
    x = 345,805.68

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1.5x scale

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.