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Finding the Fourth Proportional to 471,333.83, 706,991.16 and 116,350.92

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Solution

The fourth proportional to 471,333.83, 706,991.16 and 116,350.92 is: 174,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,333.83 : 706,991.16 = 116,350.92 : x
  2. Step 2: Convert to fraction form
    471,333.83/706,991.16 = 116,350.92/x
  3. Step 3: Cross multiply
    471,333.83x = 706,991.16 × 116,350.92
  4. Step 4: Simplify right side
    471,333.83x = 82,259,071,897.87
  5. Step 5: Solve for x
    x = 82,259,071,897.87/471,333.83
  6. Step 6: Final answer
    x = 174,524.02

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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.