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Finding the Fourth Proportional to 400,220.80, 552,318.35 and 228,164.21

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Solution

The fourth proportional to 400,220.80, 552,318.35 and 228,164.21 is: 314,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,220.80 : 552,318.35 = 228,164.21 : x
  2. Step 2: Convert to fraction form
    400,220.80/552,318.35 = 228,164.21/x
  3. Step 3: Cross multiply
    400,220.80x = 552,318.35 × 228,164.21
  4. Step 4: Simplify right side
    400,220.80x = 126,019,278,165.04
  5. Step 5: Solve for x
    x = 126,019,278,165.04/400,220.80
  6. Step 6: Final answer
    x = 314,874.39

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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.