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Finding the Fourth Proportional to 458,396.91, 632,556.03 and 254,431.77

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Solution

The fourth proportional to 458,396.91, 632,556.03 and 254,431.77 is: 351,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,396.91 : 632,556.03 = 254,431.77 : x
  2. Step 2: Convert to fraction form
    458,396.91/632,556.03 = 254,431.77/x
  3. Step 3: Cross multiply
    458,396.91x = 632,556.03 × 254,431.77
  4. Step 4: Simplify right side
    458,396.91x = 160,942,350,337.07
  5. Step 5: Solve for x
    x = 160,942,350,337.07/458,396.91
  6. Step 6: Final answer
    x = 351,098.24

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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.