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Finding the Fourth Proportional to 343,476.84, 474,233.09 and 214,611.92

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Solution

The fourth proportional to 343,476.84, 474,233.09 and 214,611.92 is: 296,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,476.84 : 474,233.09 = 214,611.92 : x
  2. Step 2: Convert to fraction form
    343,476.84/474,233.09 = 214,611.92/x
  3. Step 3: Cross multiply
    343,476.84x = 474,233.09 × 214,611.92
  4. Step 4: Simplify right side
    343,476.84x = 101,776,073,972.43
  5. Step 5: Solve for x
    x = 101,776,073,972.43/343,476.84
  6. Step 6: Final answer
    x = 296,311.31

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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.