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Finding the Fourth Proportional to 494,838.30, 742,257.45 and 214,902.30

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Solution

The fourth proportional to 494,838.30, 742,257.45 and 214,902.30 is: 322,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,838.30 : 742,257.45 = 214,902.30 : x
  2. Step 2: Convert to fraction form
    494,838.30/742,257.45 = 214,902.30/x
  3. Step 3: Cross multiply
    494,838.30x = 742,257.45 × 214,902.30
  4. Step 4: Simplify right side
    494,838.30x = 159,512,833,197.14
  5. Step 5: Solve for x
    x = 159,512,833,197.14/494,838.30
  6. Step 6: Final answer
    x = 322,353.45

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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.