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Finding the Fourth Proportional to 471,245.34, 706,411.17 and 186,843

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Solution

The fourth proportional to 471,245.34, 706,411.17 and 186,843 is: 280,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,245.34 : 706,411.17 = 186,843 : x
  2. Step 2: Convert to fraction form
    471,245.34/706,411.17 = 186,843/x
  3. Step 3: Cross multiply
    471,245.34x = 706,411.17 × 186,843
  4. Step 4: Simplify right side
    471,245.34x = 131,987,982,236.31
  5. Step 5: Solve for x
    x = 131,987,982,236.31/471,245.34
  6. Step 6: Final answer
    x = 280,083.37

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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.