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Finding the Fourth Proportional to 512,399.76, 768,608.75 and 157,416.86

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Solution

The fourth proportional to 512,399.76, 768,608.75 and 157,416.86 is: 236,128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,399.76 : 768,608.75 = 157,416.86 : x
  2. Step 2: Convert to fraction form
    512,399.76/768,608.75 = 157,416.86/x
  3. Step 3: Cross multiply
    512,399.76x = 768,608.75 × 157,416.86
  4. Step 4: Simplify right side
    512,399.76x = 120,991,972,544.02
  5. Step 5: Solve for x
    x = 120,991,972,544.02/512,399.76
  6. Step 6: Final answer
    x = 236,128.08

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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.