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Finding the Fourth Proportional to 467,906.88, 702,136.80 and 172,626.24

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Solution

The fourth proportional to 467,906.88, 702,136.80 and 172,626.24 is: 259,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,906.88 : 702,136.80 = 172,626.24 : x
  2. Step 2: Convert to fraction form
    467,906.88/702,136.80 = 172,626.24/x
  3. Step 3: Cross multiply
    467,906.88x = 702,136.80 × 172,626.24
  4. Step 4: Simplify right side
    467,906.88x = 121,207,235,749.63
  5. Step 5: Solve for x
    x = 121,207,235,749.63/467,906.88
  6. Step 6: Final answer
    x = 259,041.36

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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.