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Finding the Fourth Proportional to 293,232.80, 404,662.56 and 165,933.20

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Solution

The fourth proportional to 293,232.80, 404,662.56 and 165,933.20 is: 228,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,232.80 : 404,662.56 = 165,933.20 : x
  2. Step 2: Convert to fraction form
    293,232.80/404,662.56 = 165,933.20/x
  3. Step 3: Cross multiply
    293,232.80x = 404,662.56 × 165,933.20
  4. Step 4: Simplify right side
    293,232.80x = 67,146,953,500.99
  5. Step 5: Solve for x
    x = 67,146,953,500.99/293,232.80
  6. Step 6: Final answer
    x = 228,988.55

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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.