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Finding the Fourth Proportional to 558,717, 770,895 and 329,283.42

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Solution

The fourth proportional to 558,717, 770,895 and 329,283.42 is: 454,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,717 : 770,895 = 329,283.42 : x
  2. Step 2: Convert to fraction form
    558,717/770,895 = 329,283.42/x
  3. Step 3: Cross multiply
    558,717x = 770,895 × 329,283.42
  4. Step 4: Simplify right side
    558,717x = 253,842,942,060.90
  5. Step 5: Solve for x
    x = 253,842,942,060.90/558,717
  6. Step 6: Final answer
    x = 454,331.87

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