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Finding the Fourth Proportional to 410,150.70, 615,227.49 and 199,608.30

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Solution

The fourth proportional to 410,150.70, 615,227.49 and 199,608.30 is: 299,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,150.70 : 615,227.49 = 199,608.30 : x
  2. Step 2: Convert to fraction form
    410,150.70/615,227.49 = 199,608.30/x
  3. Step 3: Cross multiply
    410,150.70x = 615,227.49 × 199,608.30
  4. Step 4: Simplify right side
    410,150.70x = 122,804,513,392.17
  5. Step 5: Solve for x
    x = 122,804,513,392.17/410,150.70
  6. Step 6: Final answer
    x = 299,413.15

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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.