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Finding the Fourth Proportional to 447,232.32, 670,965.12 and 166,752

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Solution

The fourth proportional to 447,232.32, 670,965.12 and 166,752 is: 250,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,232.32 : 670,965.12 = 166,752 : x
  2. Step 2: Convert to fraction form
    447,232.32/670,965.12 = 166,752/x
  3. Step 3: Cross multiply
    447,232.32x = 670,965.12 × 166,752
  4. Step 4: Simplify right side
    447,232.32x = 111,884,775,690.24
  5. Step 5: Solve for x
    x = 111,884,775,690.24/447,232.32
  6. Step 6: Final answer
    x = 250,171.49

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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.