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Finding the Fourth Proportional to 297,859.88, 411,046.64 and 163,723.88

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Solution

The fourth proportional to 297,859.88, 411,046.64 and 163,723.88 is: 225,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,859.88 : 411,046.64 = 163,723.88 : x
  2. Step 2: Convert to fraction form
    297,859.88/411,046.64 = 163,723.88/x
  3. Step 3: Cross multiply
    297,859.88x = 411,046.64 × 163,723.88
  4. Step 4: Simplify right side
    297,859.88x = 67,298,147,887.91
  5. Step 5: Solve for x
    x = 67,298,147,887.91/297,859.88
  6. Step 6: Final answer
    x = 225,938.95

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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.