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Finding the Fourth Proportional to 419,165.20, 578,448.02 and 228,180

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Solution

The fourth proportional to 419,165.20, 578,448.02 and 228,180 is: 314,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,165.20 : 578,448.02 = 228,180 : x
  2. Step 2: Convert to fraction form
    419,165.20/578,448.02 = 228,180/x
  3. Step 3: Cross multiply
    419,165.20x = 578,448.02 × 228,180
  4. Step 4: Simplify right side
    419,165.20x = 131,990,269,203.60
  5. Step 5: Solve for x
    x = 131,990,269,203.60/419,165.20
  6. Step 6: Final answer
    x = 314,888.42

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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.