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Finding the Fourth Proportional to 232,324.58, 320,714.16 and 178,590.80

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Solution

The fourth proportional to 232,324.58, 320,714.16 and 178,590.80 is: 246,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,324.58 : 320,714.16 = 178,590.80 : x
  2. Step 2: Convert to fraction form
    232,324.58/320,714.16 = 178,590.80/x
  3. Step 3: Cross multiply
    232,324.58x = 320,714.16 × 178,590.80
  4. Step 4: Simplify right side
    232,324.58x = 57,276,598,405.73
  5. Step 5: Solve for x
    x = 57,276,598,405.73/232,324.58
  6. Step 6: Final answer
    x = 246,536.97

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1.5x scale

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.