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Finding the Fourth Proportional to 352,966.32, 529,449.12 and 142,604.16

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Solution

The fourth proportional to 352,966.32, 529,449.12 and 142,604.16 is: 213,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,966.32 : 529,449.12 = 142,604.16 : x
  2. Step 2: Convert to fraction form
    352,966.32/529,449.12 = 142,604.16/x
  3. Step 3: Cross multiply
    352,966.32x = 529,449.12 × 142,604.16
  4. Step 4: Simplify right side
    352,966.32x = 75,501,647,020.34
  5. Step 5: Solve for x
    x = 75,501,647,020.34/352,966.32
  6. Step 6: Final answer
    x = 213,906.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.