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Finding the Fourth Proportional to 458,297.86, 632,457.86 and 254,361.92

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Solution

The fourth proportional to 458,297.86, 632,457.86 and 254,361.92 is: 351,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,297.86 : 632,457.86 = 254,361.92 : x
  2. Step 2: Convert to fraction form
    458,297.86/632,457.86 = 254,361.92/x
  3. Step 3: Cross multiply
    458,297.86x = 632,457.86 × 254,361.92
  4. Step 4: Simplify right side
    458,297.86x = 160,873,195,588.69
  5. Step 5: Solve for x
    x = 160,873,195,588.69/458,297.86
  6. Step 6: Final answer
    x = 351,023.23

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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.