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Finding the Fourth Proportional to 409,853.13, 565,596.22 and 228,565.27

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Solution

The fourth proportional to 409,853.13, 565,596.22 and 228,565.27 is: 315,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,853.13 : 565,596.22 = 228,565.27 : x
  2. Step 2: Convert to fraction form
    409,853.13/565,596.22 = 228,565.27/x
  3. Step 3: Cross multiply
    409,853.13x = 565,596.22 × 228,565.27
  4. Step 4: Simplify right side
    409,853.13x = 129,275,652,735.28
  5. Step 5: Solve for x
    x = 129,275,652,735.28/409,853.13
  6. Step 6: Final answer
    x = 315,419.46

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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.