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Finding the Fourth Proportional to 419,216.55, 578,529.24 and 228,240.42

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Solution

The fourth proportional to 419,216.55, 578,529.24 and 228,240.42 is: 314,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,216.55 : 578,529.24 = 228,240.42 : x
  2. Step 2: Convert to fraction form
    419,216.55/578,529.24 = 228,240.42/x
  3. Step 3: Cross multiply
    419,216.55x = 578,529.24 × 228,240.42
  4. Step 4: Simplify right side
    419,216.55x = 132,043,756,719.88
  5. Step 5: Solve for x
    x = 132,043,756,719.88/419,216.55
  6. Step 6: Final answer
    x = 314,977.44

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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.