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Finding the Fourth Proportional to 457,691.82, 686,537.75 and 177,209.07

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Solution

The fourth proportional to 457,691.82, 686,537.75 and 177,209.07 is: 265,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,691.82 : 686,537.75 = 177,209.07 : x
  2. Step 2: Convert to fraction form
    457,691.82/686,537.75 = 177,209.07/x
  3. Step 3: Cross multiply
    457,691.82x = 686,537.75 × 177,209.07
  4. Step 4: Simplify right side
    457,691.82x = 121,660,716,197.39
  5. Step 5: Solve for x
    x = 121,660,716,197.39/457,691.82
  6. Step 6: Final answer
    x = 265,813.61

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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.