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Finding the Fourth Proportional to 410,142.80, 615,214.20 and 404,613.20

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Solution

The fourth proportional to 410,142.80, 615,214.20 and 404,613.20 is: 606,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,142.80 : 615,214.20 = 404,613.20 : x
  2. Step 2: Convert to fraction form
    410,142.80/615,214.20 = 404,613.20/x
  3. Step 3: Cross multiply
    410,142.80x = 615,214.20 × 404,613.20
  4. Step 4: Simplify right side
    410,142.80x = 248,923,786,147.44
  5. Step 5: Solve for x
    x = 248,923,786,147.44/410,142.80
  6. Step 6: Final answer
    x = 606,919.80

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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.