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Finding the Fourth Proportional to 471,164.45, 706,754.16 and 116,178.57

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Solution

The fourth proportional to 471,164.45, 706,754.16 and 116,178.57 is: 174,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,164.45 : 706,754.16 = 116,178.57 : x
  2. Step 2: Convert to fraction form
    471,164.45/706,754.16 = 116,178.57/x
  3. Step 3: Cross multiply
    471,164.45x = 706,754.16 × 116,178.57
  4. Step 4: Simplify right side
    471,164.45x = 82,109,687,650.35
  5. Step 5: Solve for x
    x = 82,109,687,650.35/471,164.45
  6. Step 6: Final answer
    x = 174,269.70

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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.