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Finding the Fourth Proportional to 469,164.96, 703,745.28 and 114,177.60

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Solution

The fourth proportional to 469,164.96, 703,745.28 and 114,177.60 is: 171,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,164.96 : 703,745.28 = 114,177.60 : x
  2. Step 2: Convert to fraction form
    469,164.96/703,745.28 = 114,177.60/x
  3. Step 3: Cross multiply
    469,164.96x = 703,745.28 × 114,177.60
  4. Step 4: Simplify right side
    469,164.96x = 80,351,947,081.73
  5. Step 5: Solve for x
    x = 80,351,947,081.73/469,164.96
  6. Step 6: Final answer
    x = 171,265.87

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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.