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Finding the Fourth Proportional to 471,174.75, 706,988.93 and 234,538.11

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Solution

The fourth proportional to 471,174.75, 706,988.93 and 234,538.11 is: 351,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,174.75 : 706,988.93 = 234,538.11 : x
  2. Step 2: Convert to fraction form
    471,174.75/706,988.93 = 234,538.11/x
  3. Step 3: Cross multiply
    471,174.75x = 706,988.93 × 234,538.11
  4. Step 4: Simplify right side
    471,174.75x = 165,815,846,260.43
  5. Step 5: Solve for x
    x = 165,815,846,260.43/471,174.75
  6. Step 6: Final answer
    x = 351,920.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.