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Finding the Fourth Proportional to 466,811.64, 700,166.43 and 151,183.80

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Solution

The fourth proportional to 466,811.64, 700,166.43 and 151,183.80 is: 226,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,811.64 : 700,166.43 = 151,183.80 : x
  2. Step 2: Convert to fraction form
    466,811.64/700,166.43 = 151,183.80/x
  3. Step 3: Cross multiply
    466,811.64x = 700,166.43 × 151,183.80
  4. Step 4: Simplify right side
    466,811.64x = 105,853,821,519.83
  5. Step 5: Solve for x
    x = 105,853,821,519.83/466,811.64
  6. Step 6: Final answer
    x = 226,759.17

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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.