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Finding the Fourth Proportional to 419,214.44, 578,528.04 and 228,231.08

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Solution

The fourth proportional to 419,214.44, 578,528.04 and 228,231.08 is: 314,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,214.44 : 578,528.04 = 228,231.08 : x
  2. Step 2: Convert to fraction form
    419,214.44/578,528.04 = 228,231.08/x
  3. Step 3: Cross multiply
    419,214.44x = 578,528.04 × 228,231.08
  4. Step 4: Simplify right side
    419,214.44x = 132,038,079,379.48
  5. Step 5: Solve for x
    x = 132,038,079,379.48/419,214.44
  6. Step 6: Final answer
    x = 314,965.48

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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.