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Finding the Fourth Proportional to 419,422.38, 578,809.62 and 228,435.78

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Solution

The fourth proportional to 419,422.38, 578,809.62 and 228,435.78 is: 315,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,422.38 : 578,809.62 = 228,435.78 : x
  2. Step 2: Convert to fraction form
    419,422.38/578,809.62 = 228,435.78/x
  3. Step 3: Cross multiply
    419,422.38x = 578,809.62 × 228,435.78
  4. Step 4: Simplify right side
    419,422.38x = 132,220,827,016.20
  5. Step 5: Solve for x
    x = 132,220,827,016.20/419,422.38
  6. Step 6: Final answer
    x = 315,245.04

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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.