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Finding the Fourth Proportional to 551,862.30, 827,793.45 and 410,144.70

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Solution

The fourth proportional to 551,862.30, 827,793.45 and 410,144.70 is: 615,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,862.30 : 827,793.45 = 410,144.70 : x
  2. Step 2: Convert to fraction form
    551,862.30/827,793.45 = 410,144.70/x
  3. Step 3: Cross multiply
    551,862.30x = 827,793.45 × 410,144.70
  4. Step 4: Simplify right side
    551,862.30x = 339,515,096,212.22
  5. Step 5: Solve for x
    x = 339,515,096,212.22/551,862.30
  6. Step 6: Final answer
    x = 615,217.05

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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.