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Finding the Fourth Proportional to 400,593.28, 552,817.56 and 230,827

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Solution

The fourth proportional to 400,593.28, 552,817.56 and 230,827 is: 318,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,593.28 : 552,817.56 = 230,827 : x
  2. Step 2: Convert to fraction form
    400,593.28/552,817.56 = 230,827/x
  3. Step 3: Cross multiply
    400,593.28x = 552,817.56 × 230,827
  4. Step 4: Simplify right side
    400,593.28x = 127,605,218,922.12
  5. Step 5: Solve for x
    x = 127,605,218,922.12/400,593.28
  6. Step 6: Final answer
    x = 318,540.59

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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.