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Finding the Fourth Proportional to 419,382.18, 578,743.38 and 228,398.76

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Solution

The fourth proportional to 419,382.18, 578,743.38 and 228,398.76 is: 315,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,382.18 : 578,743.38 = 228,398.76 : x
  2. Step 2: Convert to fraction form
    419,382.18/578,743.38 = 228,398.76/x
  3. Step 3: Cross multiply
    419,382.18x = 578,743.38 × 228,398.76
  4. Step 4: Simplify right side
    419,382.18x = 132,184,270,350.21
  5. Step 5: Solve for x
    x = 132,184,270,350.21/419,382.18
  6. Step 6: Final answer
    x = 315,188.09

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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.