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Finding the Fourth Proportional to 331,762.26, 497,213.13 and 189,388.56

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Solution

The fourth proportional to 331,762.26, 497,213.13 and 189,388.56 is: 283,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,762.26 : 497,213.13 = 189,388.56 : x
  2. Step 2: Convert to fraction form
    331,762.26/497,213.13 = 189,388.56/x
  3. Step 3: Cross multiply
    331,762.26x = 497,213.13 × 189,388.56
  4. Step 4: Simplify right side
    331,762.26x = 94,166,478,703.79
  5. Step 5: Solve for x
    x = 94,166,478,703.79/331,762.26
  6. Step 6: Final answer
    x = 283,837.22

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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.