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Finding the Fourth Proportional to 298,813.68, 412,362.90 and 164,677.68

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Solution

The fourth proportional to 298,813.68, 412,362.90 and 164,677.68 is: 227,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,813.68 : 412,362.90 = 164,677.68 : x
  2. Step 2: Convert to fraction form
    298,813.68/412,362.90 = 164,677.68/x
  3. Step 3: Cross multiply
    298,813.68x = 412,362.90 × 164,677.68
  4. Step 4: Simplify right side
    298,813.68x = 67,906,965,690.07
  5. Step 5: Solve for x
    x = 67,906,965,690.07/298,813.68
  6. Step 6: Final answer
    x = 227,255.21

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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.