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Finding the Fourth Proportional to 418,147.20, 577,092.60 and 248,382

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Solution

The fourth proportional to 418,147.20, 577,092.60 and 248,382 is: 342,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,147.20 : 577,092.60 = 248,382 : x
  2. Step 2: Convert to fraction form
    418,147.20/577,092.60 = 248,382/x
  3. Step 3: Cross multiply
    418,147.20x = 577,092.60 × 248,382
  4. Step 4: Simplify right side
    418,147.20x = 143,339,414,173.20
  5. Step 5: Solve for x
    x = 143,339,414,173.20/418,147.20
  6. Step 6: Final answer
    x = 342,796.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.