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Finding the Fourth Proportional to 419,071.66, 578,318.88 and 228,086.41

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Solution

The fourth proportional to 419,071.66, 578,318.88 and 228,086.41 is: 314,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,071.66 : 578,318.88 = 228,086.41 : x
  2. Step 2: Convert to fraction form
    419,071.66/578,318.88 = 228,086.41/x
  3. Step 3: Cross multiply
    419,071.66x = 578,318.88 × 228,086.41
  4. Step 4: Simplify right side
    419,071.66x = 131,906,677,174.42
  5. Step 5: Solve for x
    x = 131,906,677,174.42/419,071.66
  6. Step 6: Final answer
    x = 314,759.24

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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.