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Finding the Fourth Proportional to 234,714.49, 323,906.16 and 127,284.49

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Solution

The fourth proportional to 234,714.49, 323,906.16 and 127,284.49 is: 175,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,714.49 : 323,906.16 = 127,284.49 : x
  2. Step 2: Convert to fraction form
    234,714.49/323,906.16 = 127,284.49/x
  3. Step 3: Cross multiply
    234,714.49x = 323,906.16 × 127,284.49
  4. Step 4: Simplify right side
    234,714.49x = 41,228,230,383.46
  5. Step 5: Solve for x
    x = 41,228,230,383.46/234,714.49
  6. Step 6: Final answer
    x = 175,652.69

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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.