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Finding the Fourth Proportional to 413,844.15, 620,777.94 and 114,324.78

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Solution

The fourth proportional to 413,844.15, 620,777.94 and 114,324.78 is: 171,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,844.15 : 620,777.94 = 114,324.78 : x
  2. Step 2: Convert to fraction form
    413,844.15/620,777.94 = 114,324.78/x
  3. Step 3: Cross multiply
    413,844.15x = 620,777.94 × 114,324.78
  4. Step 4: Simplify right side
    413,844.15x = 70,970,301,419.35
  5. Step 5: Solve for x
    x = 70,970,301,419.35/413,844.15
  6. Step 6: Final answer
    x = 171,490.41

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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.