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Finding the Fourth Proportional to 449,494.26, 620,320.94 and 258,507.80

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Solution

The fourth proportional to 449,494.26, 620,320.94 and 258,507.80 is: 356,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,494.26 : 620,320.94 = 258,507.80 : x
  2. Step 2: Convert to fraction form
    449,494.26/620,320.94 = 258,507.80/x
  3. Step 3: Cross multiply
    449,494.26x = 620,320.94 × 258,507.80
  4. Step 4: Simplify right side
    449,494.26x = 160,357,801,493.33
  5. Step 5: Solve for x
    x = 160,357,801,493.33/449,494.26
  6. Step 6: Final answer
    x = 356,751.61

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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.