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Finding the Fourth Proportional to 293,231.30, 404,660.49 and 165,931.70

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Solution

The fourth proportional to 293,231.30, 404,660.49 and 165,931.70 is: 228,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,231.30 : 404,660.49 = 165,931.70 : x
  2. Step 2: Convert to fraction form
    293,231.30/404,660.49 = 165,931.70/x
  3. Step 3: Cross multiply
    293,231.30x = 404,660.49 × 165,931.70
  4. Step 4: Simplify right side
    293,231.30x = 67,146,003,028.53
  5. Step 5: Solve for x
    x = 67,146,003,028.53/293,231.30
  6. Step 6: Final answer
    x = 228,986.48

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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.