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Finding the Fourth Proportional to 397,344.84, 548,338.46 and 216,058.74

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Solution

The fourth proportional to 397,344.84, 548,338.46 and 216,058.74 is: 298,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,344.84 : 548,338.46 = 216,058.74 : x
  2. Step 2: Convert to fraction form
    397,344.84/548,338.46 = 216,058.74/x
  3. Step 3: Cross multiply
    397,344.84x = 548,338.46 × 216,058.74
  4. Step 4: Simplify right side
    397,344.84x = 118,473,315,680.85
  5. Step 5: Solve for x
    x = 118,473,315,680.85/397,344.84
  6. Step 6: Final answer
    x = 298,162.46

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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.