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Finding the Fourth Proportional to 431,906.85, 596,027.39 and 238,316.31

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Solution

The fourth proportional to 431,906.85, 596,027.39 and 238,316.31 is: 328,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,906.85 : 596,027.39 = 238,316.31 : x
  2. Step 2: Convert to fraction form
    431,906.85/596,027.39 = 238,316.31/x
  3. Step 3: Cross multiply
    431,906.85x = 596,027.39 × 238,316.31
  4. Step 4: Simplify right side
    431,906.85x = 142,043,047,052.15
  5. Step 5: Solve for x
    x = 142,043,047,052.15/431,906.85
  6. Step 6: Final answer
    x = 328,874.26

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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.