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Finding the Fourth Proportional to 293,046.81, 404,385.03 and 163,962.87

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Solution

The fourth proportional to 293,046.81, 404,385.03 and 163,962.87 is: 226,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,046.81 : 404,385.03 = 163,962.87 : x
  2. Step 2: Convert to fraction form
    293,046.81/404,385.03 = 163,962.87/x
  3. Step 3: Cross multiply
    293,046.81x = 404,385.03 × 163,962.87
  4. Step 4: Simplify right side
    293,046.81x = 66,304,130,103.84
  5. Step 5: Solve for x
    x = 66,304,130,103.84/293,046.81
  6. Step 6: Final answer
    x = 226,257.81

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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.