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Finding the Fourth Proportional to 491,683.77, 737,582.76 and 171,736.61

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Solution

The fourth proportional to 491,683.77, 737,582.76 and 171,736.61 is: 257,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,683.77 : 737,582.76 = 171,736.61 : x
  2. Step 2: Convert to fraction form
    491,683.77/737,582.76 = 171,736.61/x
  3. Step 3: Cross multiply
    491,683.77x = 737,582.76 × 171,736.61
  4. Step 4: Simplify right side
    491,683.77x = 126,669,959,108.93
  5. Step 5: Solve for x
    x = 126,669,959,108.93/491,683.77
  6. Step 6: Final answer
    x = 257,624.85

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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.