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Finding the Fourth Proportional to 279,472.41, 385,722.23 and 164,744.22

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Solution

The fourth proportional to 279,472.41, 385,722.23 and 164,744.22 is: 227,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,472.41 : 385,722.23 = 164,744.22 : x
  2. Step 2: Convert to fraction form
    279,472.41/385,722.23 = 164,744.22/x
  3. Step 3: Cross multiply
    279,472.41x = 385,722.23 × 164,744.22
  4. Step 4: Simplify right side
    279,472.41x = 63,545,507,918.01
  5. Step 5: Solve for x
    x = 63,545,507,918.01/279,472.41
  6. Step 6: Final answer
    x = 227,376.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.