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Finding the Fourth Proportional to 419,215.55, 578,527.86 and 228,239.42

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Solution

The fourth proportional to 419,215.55, 578,527.86 and 228,239.42 is: 314,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,215.55 : 578,527.86 = 228,239.42 : x
  2. Step 2: Convert to fraction form
    419,215.55/578,527.86 = 228,239.42/x
  3. Step 3: Cross multiply
    419,215.55x = 578,527.86 × 228,239.42
  4. Step 4: Simplify right side
    419,215.55x = 132,042,863,220.24
  5. Step 5: Solve for x
    x = 132,042,863,220.24/419,215.55
  6. Step 6: Final answer
    x = 314,976.06

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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.