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Finding the Fourth Proportional to 419,219.94, 578,535.63 and 228,236.58

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Solution

The fourth proportional to 419,219.94, 578,535.63 and 228,236.58 is: 314,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,219.94 : 578,535.63 = 228,236.58 : x
  2. Step 2: Convert to fraction form
    419,219.94/578,535.63 = 228,236.58/x
  3. Step 3: Cross multiply
    419,219.94x = 578,535.63 × 228,236.58
  4. Step 4: Simplify right side
    419,219.94x = 132,042,993,599.35
  5. Step 5: Solve for x
    x = 132,042,993,599.35/419,219.94
  6. Step 6: Final answer
    x = 314,973.07

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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.