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Finding the Fourth Proportional to 471,168.95, 706,760.91 and 116,183.07

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Solution

The fourth proportional to 471,168.95, 706,760.91 and 116,183.07 is: 174,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,168.95 : 706,760.91 = 116,183.07 : x
  2. Step 2: Convert to fraction form
    471,168.95/706,760.91 = 116,183.07/x
  3. Step 3: Cross multiply
    471,168.95x = 706,760.91 × 116,183.07
  4. Step 4: Simplify right side
    471,168.95x = 82,113,652,279.79
  5. Step 5: Solve for x
    x = 82,113,652,279.79/471,168.95
  6. Step 6: Final answer
    x = 174,276.45

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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.