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Finding the Fourth Proportional to 463,731.86, 695,598.37 and 126,775.44

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Solution

The fourth proportional to 463,731.86, 695,598.37 and 126,775.44 is: 190,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,731.86 : 695,598.37 = 126,775.44 : x
  2. Step 2: Convert to fraction form
    463,731.86/695,598.37 = 126,775.44/x
  3. Step 3: Cross multiply
    463,731.86x = 695,598.37 × 126,775.44
  4. Step 4: Simplify right side
    463,731.86x = 88,184,786,414.85
  5. Step 5: Solve for x
    x = 88,184,786,414.85/463,731.86
  6. Step 6: Final answer
    x = 190,163.31

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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.