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Finding the Fourth Proportional to 433,991.52, 651,086.64 and 167,754.24

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Solution

The fourth proportional to 433,991.52, 651,086.64 and 167,754.24 is: 251,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,991.52 : 651,086.64 = 167,754.24 : x
  2. Step 2: Convert to fraction form
    433,991.52/651,086.64 = 167,754.24/x
  3. Step 3: Cross multiply
    433,991.52x = 651,086.64 × 167,754.24
  4. Step 4: Simplify right side
    433,991.52x = 109,222,544,467.35
  5. Step 5: Solve for x
    x = 109,222,544,467.35/433,991.52
  6. Step 6: Final answer
    x = 251,669.77

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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.