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Finding the Fourth Proportional to 427,862.96, 590,428.38 and 234,233.54

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Solution

The fourth proportional to 427,862.96, 590,428.38 and 234,233.54 is: 323,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,862.96 : 590,428.38 = 234,233.54 : x
  2. Step 2: Convert to fraction form
    427,862.96/590,428.38 = 234,233.54/x
  3. Step 3: Cross multiply
    427,862.96x = 590,428.38 × 234,233.54
  4. Step 4: Simplify right side
    427,862.96x = 138,298,129,563.87
  5. Step 5: Solve for x
    x = 138,298,129,563.87/427,862.96
  6. Step 6: Final answer
    x = 323,229.96

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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.