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Finding the Fourth Proportional to 293,412.65, 404,919.41 and 164,356.64

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Solution

The fourth proportional to 293,412.65, 404,919.41 and 164,356.64 is: 226,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,412.65 : 404,919.41 = 164,356.64 : x
  2. Step 2: Convert to fraction form
    293,412.65/404,919.41 = 164,356.64/x
  3. Step 3: Cross multiply
    293,412.65x = 404,919.41 × 164,356.64
  4. Step 4: Simplify right side
    293,412.65x = 66,551,191,673.79
  5. Step 5: Solve for x
    x = 66,551,191,673.79/293,412.65
  6. Step 6: Final answer
    x = 226,817.73

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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.