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Finding the Fourth Proportional to 419,001.30, 578,227.17 and 228,019.86

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Solution

The fourth proportional to 419,001.30, 578,227.17 and 228,019.86 is: 314,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,001.30 : 578,227.17 = 228,019.86 : x
  2. Step 2: Convert to fraction form
    419,001.30/578,227.17 = 228,019.86/x
  3. Step 3: Cross multiply
    419,001.30x = 578,227.17 × 228,019.86
  4. Step 4: Simplify right side
    419,001.30x = 131,847,278,351.60
  5. Step 5: Solve for x
    x = 131,847,278,351.60/419,001.30
  6. Step 6: Final answer
    x = 314,670.33

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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.