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Finding the Fourth Proportional to 409,022.92, 613,248.31 and 181,207.59

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Solution

The fourth proportional to 409,022.92, 613,248.31 and 181,207.59 is: 271,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,022.92 : 613,248.31 = 181,207.59 : x
  2. Step 2: Convert to fraction form
    409,022.92/613,248.31 = 181,207.59/x
  3. Step 3: Cross multiply
    409,022.92x = 613,248.31 × 181,207.59
  4. Step 4: Simplify right side
    409,022.92x = 111,125,248,326.67
  5. Step 5: Solve for x
    x = 111,125,248,326.67/409,022.92
  6. Step 6: Final answer
    x = 271,684.65

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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.