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Finding the Fourth Proportional to 325,831.66, 488,814.90 and 157,469.14

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Solution

The fourth proportional to 325,831.66, 488,814.90 and 157,469.14 is: 236,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,831.66 : 488,814.90 = 157,469.14 : x
  2. Step 2: Convert to fraction form
    325,831.66/488,814.90 = 157,469.14/x
  3. Step 3: Cross multiply
    325,831.66x = 488,814.90 × 157,469.14
  4. Step 4: Simplify right side
    325,831.66x = 76,973,261,922.19
  5. Step 5: Solve for x
    x = 76,973,261,922.19/325,831.66
  6. Step 6: Final answer
    x = 236,236.29

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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.