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Finding the Fourth Proportional to 491,608.74, 737,415.48 and 171,759.24

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Solution

The fourth proportional to 491,608.74, 737,415.48 and 171,759.24 is: 257,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,608.74 : 737,415.48 = 171,759.24 : x
  2. Step 2: Convert to fraction form
    491,608.74/737,415.48 = 171,759.24/x
  3. Step 3: Cross multiply
    491,608.74x = 737,415.48 × 171,759.24
  4. Step 4: Simplify right side
    491,608.74x = 126,657,922,409.04
  5. Step 5: Solve for x
    x = 126,657,922,409.04/491,608.74
  6. Step 6: Final answer
    x = 257,639.69

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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.