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Finding the Fourth Proportional to 410,144.70, 615,218.49 and 199,602.30

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Solution

The fourth proportional to 410,144.70, 615,218.49 and 199,602.30 is: 299,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,144.70 : 615,218.49 = 199,602.30 : x
  2. Step 2: Convert to fraction form
    410,144.70/615,218.49 = 199,602.30/x
  3. Step 3: Cross multiply
    410,144.70x = 615,218.49 × 199,602.30
  4. Step 4: Simplify right side
    410,144.70x = 122,799,025,606.53
  5. Step 5: Solve for x
    x = 122,799,025,606.53/410,144.70
  6. Step 6: Final answer
    x = 299,404.15

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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.