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Finding the Fourth Proportional to 397,821.91, 548,612.63 and 267,294.74

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Solution

The fourth proportional to 397,821.91, 548,612.63 and 267,294.74 is: 368,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,821.91 : 548,612.63 = 267,294.74 : x
  2. Step 2: Convert to fraction form
    397,821.91/548,612.63 = 267,294.74/x
  3. Step 3: Cross multiply
    397,821.91x = 548,612.63 × 267,294.74
  4. Step 4: Simplify right side
    397,821.91x = 146,641,270,296.57
  5. Step 5: Solve for x
    x = 146,641,270,296.57/397,821.91
  6. Step 6: Final answer
    x = 368,610.34

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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.