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Finding the Fourth Proportional to 421,494.78, 582,317.73 and 353,406.18

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Solution

The fourth proportional to 421,494.78, 582,317.73 and 353,406.18 is: 488,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,494.78 : 582,317.73 = 353,406.18 : x
  2. Step 2: Convert to fraction form
    421,494.78/582,317.73 = 353,406.18/x
  3. Step 3: Cross multiply
    421,494.78x = 582,317.73 × 353,406.18
  4. Step 4: Simplify right side
    421,494.78x = 205,794,684,505.57
  5. Step 5: Solve for x
    x = 205,794,684,505.57/421,494.78
  6. Step 6: Final answer
    x = 488,249.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.