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Finding the Fourth Proportional to 410,196.80, 615,640.80 and 200,014.40

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Solution

The fourth proportional to 410,196.80, 615,640.80 and 200,014.40 is: 300,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,196.80 : 615,640.80 = 200,014.40 : x
  2. Step 2: Convert to fraction form
    410,196.80/615,640.80 = 200,014.40/x
  3. Step 3: Cross multiply
    410,196.80x = 615,640.80 × 200,014.40
  4. Step 4: Simplify right side
    410,196.80x = 123,137,025,227.52
  5. Step 5: Solve for x
    x = 123,137,025,227.52/410,196.80
  6. Step 6: Final answer
    x = 300,190.12

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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.