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Finding the Fourth Proportional to 419,067.66, 578,313.36 and 228,082.41

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Solution

The fourth proportional to 419,067.66, 578,313.36 and 228,082.41 is: 314,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,067.66 : 578,313.36 = 228,082.41 : x
  2. Step 2: Convert to fraction form
    419,067.66/578,313.36 = 228,082.41/x
  3. Step 3: Cross multiply
    419,067.66x = 578,313.36 × 228,082.41
  4. Step 4: Simplify right side
    419,067.66x = 131,903,104,884.00
  5. Step 5: Solve for x
    x = 131,903,104,884.00/419,067.66
  6. Step 6: Final answer
    x = 314,753.72

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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.