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Finding the Fourth Proportional to 409,836.48, 565,576.77 and 228,559.86

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Solution

The fourth proportional to 409,836.48, 565,576.77 and 228,559.86 is: 315,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,836.48 : 565,576.77 = 228,559.86 : x
  2. Step 2: Convert to fraction form
    409,836.48/565,576.77 = 228,559.86/x
  3. Step 3: Cross multiply
    409,836.48x = 565,576.77 × 228,559.86
  4. Step 4: Simplify right side
    409,836.48x = 129,268,147,370.45
  5. Step 5: Solve for x
    x = 129,268,147,370.45/409,836.48
  6. Step 6: Final answer
    x = 315,413.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.