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Finding the Fourth Proportional to 295,229.40, 442,844.10 and 275,400.60

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Solution

The fourth proportional to 295,229.40, 442,844.10 and 275,400.60 is: 413,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,229.40 : 442,844.10 = 275,400.60 : x
  2. Step 2: Convert to fraction form
    295,229.40/442,844.10 = 275,400.60/x
  3. Step 3: Cross multiply
    295,229.40x = 442,844.10 × 275,400.60
  4. Step 4: Simplify right side
    295,229.40x = 121,959,530,846.46
  5. Step 5: Solve for x
    x = 121,959,530,846.46/295,229.40
  6. Step 6: Final answer
    x = 413,100.90

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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.