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Finding the Fourth Proportional to 298,635, 412,116.30 and 164,499

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Solution

The fourth proportional to 298,635, 412,116.30 and 164,499 is: 227,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,635 : 412,116.30 = 164,499 : x
  2. Step 2: Convert to fraction form
    298,635/412,116.30 = 164,499/x
  3. Step 3: Cross multiply
    298,635x = 412,116.30 × 164,499
  4. Step 4: Simplify right side
    298,635x = 67,792,719,233.70
  5. Step 5: Solve for x
    x = 67,792,719,233.70/298,635
  6. Step 6: Final answer
    x = 227,008.62

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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.