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Finding the Fourth Proportional to 419,045.05, 578,284.73 and 228,060.42

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Solution

The fourth proportional to 419,045.05, 578,284.73 and 228,060.42 is: 314,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,045.05 : 578,284.73 = 228,060.42 : x
  2. Step 2: Convert to fraction form
    419,045.05/578,284.73 = 228,060.42/x
  3. Step 3: Cross multiply
    419,045.05x = 578,284.73 × 228,060.42
  4. Step 4: Simplify right side
    419,045.05x = 131,883,858,403.39
  5. Step 5: Solve for x
    x = 131,883,858,403.39/419,045.05
  6. Step 6: Final answer
    x = 314,724.77

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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.