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Finding the Fourth Proportional to 471,221.12, 707,058.48 and 234,584.48

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Solution

The fourth proportional to 471,221.12, 707,058.48 and 234,584.48 is: 351,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,221.12 : 707,058.48 = 234,584.48 : x
  2. Step 2: Convert to fraction form
    471,221.12/707,058.48 = 234,584.48/x
  3. Step 3: Cross multiply
    471,221.12x = 707,058.48 × 234,584.48
  4. Step 4: Simplify right side
    471,221.12x = 165,864,945,860.39
  5. Step 5: Solve for x
    x = 165,864,945,860.39/471,221.12
  6. Step 6: Final answer
    x = 351,989.63

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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.