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Finding the Fourth Proportional to 419,216.43, 578,529.08 and 228,240.30

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Solution

The fourth proportional to 419,216.43, 578,529.08 and 228,240.30 is: 314,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,216.43 : 578,529.08 = 228,240.30 : x
  2. Step 2: Convert to fraction form
    419,216.43/578,529.08 = 228,240.30/x
  3. Step 3: Cross multiply
    419,216.43x = 578,529.08 × 228,240.30
  4. Step 4: Simplify right side
    419,216.43x = 132,043,650,777.92
  5. Step 5: Solve for x
    x = 132,043,650,777.92/419,216.43
  6. Step 6: Final answer
    x = 314,977.28

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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.