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Finding the Fourth Proportional to 419,072.66, 578,320.26 and 228,087.42

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Solution

The fourth proportional to 419,072.66, 578,320.26 and 228,087.42 is: 314,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,072.66 : 578,320.26 = 228,087.42 : x
  2. Step 2: Convert to fraction form
    419,072.66/578,320.26 = 228,087.42/x
  3. Step 3: Cross multiply
    419,072.66x = 578,320.26 × 228,087.42
  4. Step 4: Simplify right side
    419,072.66x = 131,907,576,037.13
  5. Step 5: Solve for x
    x = 131,907,576,037.13/419,072.66
  6. Step 6: Final answer
    x = 314,760.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.