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Finding the Fourth Proportional to 427,822.98, 590,402.72 and 234,227.48

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Solution

The fourth proportional to 427,822.98, 590,402.72 and 234,227.48 is: 323,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,822.98 : 590,402.72 = 234,227.48 : x
  2. Step 2: Convert to fraction form
    427,822.98/590,402.72 = 234,227.48/x
  3. Step 3: Cross multiply
    427,822.98x = 590,402.72 × 234,227.48
  4. Step 4: Simplify right side
    427,822.98x = 138,288,538,924.30
  5. Step 5: Solve for x
    x = 138,288,538,924.30/427,822.98
  6. Step 6: Final answer
    x = 323,237.75

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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.