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Finding the Fourth Proportional to 297,859.84, 411,049.92 and 161,895.04

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Solution

The fourth proportional to 297,859.84, 411,049.92 and 161,895.04 is: 223,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,859.84 : 411,049.92 = 161,895.04 : x
  2. Step 2: Convert to fraction form
    297,859.84/411,049.92 = 161,895.04/x
  3. Step 3: Cross multiply
    297,859.84x = 411,049.92 × 161,895.04
  4. Step 4: Simplify right side
    297,859.84x = 66,546,943,240.40
  5. Step 5: Solve for x
    x = 66,546,943,240.40/297,859.84
  6. Step 6: Final answer
    x = 223,416.97

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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.