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Finding the Fourth Proportional to 293,097.59, 404,486.55 and 165,772.88

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Solution

The fourth proportional to 293,097.59, 404,486.55 and 165,772.88 is: 228,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,097.59 : 404,486.55 = 165,772.88 : x
  2. Step 2: Convert to fraction form
    293,097.59/404,486.55 = 165,772.88/x
  3. Step 3: Cross multiply
    293,097.59x = 404,486.55 × 165,772.88
  4. Step 4: Simplify right side
    293,097.59x = 67,052,898,292.33
  5. Step 5: Solve for x
    x = 67,052,898,292.33/293,097.59
  6. Step 6: Final answer
    x = 228,773.29

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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.