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Finding the Fourth Proportional to 500,694.66, 751,160.13 and 163,734

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Solution

The fourth proportional to 500,694.66, 751,160.13 and 163,734 is: 245,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,694.66 : 751,160.13 = 163,734 : x
  2. Step 2: Convert to fraction form
    500,694.66/751,160.13 = 163,734/x
  3. Step 3: Cross multiply
    500,694.66x = 751,160.13 × 163,734
  4. Step 4: Simplify right side
    500,694.66x = 122,990,452,725.42
  5. Step 5: Solve for x
    x = 122,990,452,725.42/500,694.66
  6. Step 6: Final answer
    x = 245,639.63

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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.