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Finding the Fourth Proportional to 427,351.83, 589,705.86 and 236,361.12

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Solution

The fourth proportional to 427,351.83, 589,705.86 and 236,361.12 is: 326,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,351.83 : 589,705.86 = 236,361.12 : x
  2. Step 2: Convert to fraction form
    427,351.83/589,705.86 = 236,361.12/x
  3. Step 3: Cross multiply
    427,351.83x = 589,705.86 × 236,361.12
  4. Step 4: Simplify right side
    427,351.83x = 139,383,537,540.16
  5. Step 5: Solve for x
    x = 139,383,537,540.16/427,351.83
  6. Step 6: Final answer
    x = 326,156.41

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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.