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Finding the Fourth Proportional to 284,890.41, 393,105.06 and 164,008.32

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Solution

The fourth proportional to 284,890.41, 393,105.06 and 164,008.32 is: 226,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,890.41 : 393,105.06 = 164,008.32 : x
  2. Step 2: Convert to fraction form
    284,890.41/393,105.06 = 164,008.32/x
  3. Step 3: Cross multiply
    284,890.41x = 393,105.06 × 164,008.32
  4. Step 4: Simplify right side
    284,890.41x = 64,472,500,474.10
  5. Step 5: Solve for x
    x = 64,472,500,474.10/284,890.41
  6. Step 6: Final answer
    x = 226,306.32

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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.