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Finding the Fourth Proportional to 500,708.25, 751,180.50 and 163,747.58

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Solution

The fourth proportional to 500,708.25, 751,180.50 and 163,747.58 is: 245,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,708.25 : 751,180.50 = 163,747.58 : x
  2. Step 2: Convert to fraction form
    500,708.25/751,180.50 = 163,747.58/x
  3. Step 3: Cross multiply
    500,708.25x = 751,180.50 × 163,747.58
  4. Step 4: Simplify right side
    500,708.25x = 123,003,985,262.29
  5. Step 5: Solve for x
    x = 123,003,985,262.29/500,708.25
  6. Step 6: Final answer
    x = 245,659.99

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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.