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Finding the Fourth Proportional to 419,087.19, 578,340.27 and 228,101.97

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Solution

The fourth proportional to 419,087.19, 578,340.27 and 228,101.97 is: 314,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,087.19 : 578,340.27 = 228,101.97 : x
  2. Step 2: Convert to fraction form
    419,087.19/578,340.27 = 228,101.97/x
  3. Step 3: Cross multiply
    419,087.19x = 578,340.27 × 228,101.97
  4. Step 4: Simplify right side
    419,087.19x = 131,920,554,917.33
  5. Step 5: Solve for x
    x = 131,920,554,917.33/419,087.19
  6. Step 6: Final answer
    x = 314,780.69

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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.