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Finding the Fourth Proportional to 447,369.64, 670,847.10 and 166,811.56

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Solution

The fourth proportional to 447,369.64, 670,847.10 and 166,811.56 is: 250,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,369.64 : 670,847.10 = 166,811.56 : x
  2. Step 2: Convert to fraction form
    447,369.64/670,847.10 = 166,811.56/x
  3. Step 3: Cross multiply
    447,369.64x = 670,847.10 × 166,811.56
  4. Step 4: Simplify right side
    447,369.64x = 111,905,051,272.48
  5. Step 5: Solve for x
    x = 111,905,051,272.48/447,369.64
  6. Step 6: Final answer
    x = 250,140.02

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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.