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Finding the Fourth Proportional to 409,351.50, 614,049.12 and 128,890.62

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Solution

The fourth proportional to 409,351.50, 614,049.12 and 128,890.62 is: 193,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,351.50 : 614,049.12 = 128,890.62 : x
  2. Step 2: Convert to fraction form
    409,351.50/614,049.12 = 128,890.62/x
  3. Step 3: Cross multiply
    409,351.50x = 614,049.12 × 128,890.62
  4. Step 4: Simplify right side
    409,351.50x = 79,145,171,787.25
  5. Step 5: Solve for x
    x = 79,145,171,787.25/409,351.50
  6. Step 6: Final answer
    x = 193,342.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.