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Finding the Fourth Proportional to 235,902.46, 323,714.36 and 214,518.46

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Solution

The fourth proportional to 235,902.46, 323,714.36 and 214,518.46 is: 294,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,902.46 : 323,714.36 = 214,518.46 : x
  2. Step 2: Convert to fraction form
    235,902.46/323,714.36 = 214,518.46/x
  3. Step 3: Cross multiply
    235,902.46x = 323,714.36 × 214,518.46
  4. Step 4: Simplify right side
    235,902.46x = 69,442,705,987.09
  5. Step 5: Solve for x
    x = 69,442,705,987.09/235,902.46
  6. Step 6: Final answer
    x = 294,370.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.