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Finding the Fourth Proportional to 410,169.80, 615,600.30 and 199,987.40

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Solution

The fourth proportional to 410,169.80, 615,600.30 and 199,987.40 is: 300,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,169.80 : 615,600.30 = 199,987.40 : x
  2. Step 2: Convert to fraction form
    410,169.80/615,600.30 = 199,987.40/x
  3. Step 3: Cross multiply
    410,169.80x = 615,600.30 × 199,987.40
  4. Step 4: Simplify right side
    410,169.80x = 123,112,303,436.22
  5. Step 5: Solve for x
    x = 123,112,303,436.22/410,169.80
  6. Step 6: Final answer
    x = 300,149.60

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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.