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Finding the Fourth Proportional to 311,985.33, 430,538.34 and 168,745.03

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Solution

The fourth proportional to 311,985.33, 430,538.34 and 168,745.03 is: 232,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,985.33 : 430,538.34 = 168,745.03 : x
  2. Step 2: Convert to fraction form
    311,985.33/430,538.34 = 168,745.03/x
  3. Step 3: Cross multiply
    311,985.33x = 430,538.34 × 168,745.03
  4. Step 4: Simplify right side
    311,985.33x = 72,651,204,655.90
  5. Step 5: Solve for x
    x = 72,651,204,655.90/311,985.33
  6. Step 6: Final answer
    x = 232,867.38

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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.