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Finding the Fourth Proportional to 293,241.87, 404,662.74 and 165,920.20

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Solution

The fourth proportional to 293,241.87, 404,662.74 and 165,920.20 is: 228,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,241.87 : 404,662.74 = 165,920.20 : x
  2. Step 2: Convert to fraction form
    293,241.87/404,662.74 = 165,920.20/x
  3. Step 3: Cross multiply
    293,241.87x = 404,662.74 × 165,920.20
  4. Step 4: Simplify right side
    293,241.87x = 67,141,721,119.49
  5. Step 5: Solve for x
    x = 67,141,721,119.49/293,241.87
  6. Step 6: Final answer
    x = 228,963.62

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1.5x scale

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.