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Finding the Fourth Proportional to 457,191.72, 685,832.67 and 157,632.84

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Solution

The fourth proportional to 457,191.72, 685,832.67 and 157,632.84 is: 236,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,191.72 : 685,832.67 = 157,632.84 : x
  2. Step 2: Convert to fraction form
    457,191.72/685,832.67 = 157,632.84/x
  3. Step 3: Cross multiply
    457,191.72x = 685,832.67 × 157,632.84
  4. Step 4: Simplify right side
    457,191.72x = 108,109,751,536.88
  5. Step 5: Solve for x
    x = 108,109,751,536.88/457,191.72
  6. Step 6: Final answer
    x = 236,464.81

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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.