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Finding the Fourth Proportional to 293,311.84, 404,776.40 and 165,987.40

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Solution

The fourth proportional to 293,311.84, 404,776.40 and 165,987.40 is: 229,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,311.84 : 404,776.40 = 165,987.40 : x
  2. Step 2: Convert to fraction form
    293,311.84/404,776.40 = 165,987.40/x
  3. Step 3: Cross multiply
    293,311.84x = 404,776.40 × 165,987.40
  4. Step 4: Simplify right side
    293,311.84x = 67,187,782,217.36
  5. Step 5: Solve for x
    x = 67,187,782,217.36/293,311.84
  6. Step 6: Final answer
    x = 229,066.04

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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.