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Finding the Fourth Proportional to 419,809.87, 579,331.74 and 228,824.02

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Solution

The fourth proportional to 419,809.87, 579,331.74 and 228,824.02 is: 315,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,809.87 : 579,331.74 = 228,824.02 : x
  2. Step 2: Convert to fraction form
    419,809.87/579,331.74 = 228,824.02/x
  3. Step 3: Cross multiply
    419,809.87x = 579,331.74 × 228,824.02
  4. Step 4: Simplify right side
    419,809.87x = 132,565,017,660.40
  5. Step 5: Solve for x
    x = 132,565,017,660.40/419,809.87
  6. Step 6: Final answer
    x = 315,773.94

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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.