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Finding the Fourth Proportional to 427,824.86, 590,405.31 and 234,229.35

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Solution

The fourth proportional to 427,824.86, 590,405.31 and 234,229.35 is: 323,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,824.86 : 590,405.31 = 234,229.35 : x
  2. Step 2: Convert to fraction form
    427,824.86/590,405.31 = 234,229.35/x
  3. Step 3: Cross multiply
    427,824.86x = 590,405.31 × 234,229.35
  4. Step 4: Simplify right side
    427,824.86x = 138,290,251,997.85
  5. Step 5: Solve for x
    x = 138,290,251,997.85/427,824.86
  6. Step 6: Final answer
    x = 323,240.34

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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.