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Finding the Fourth Proportional to 500,709.25, 751,182 and 163,748.58

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Solution

The fourth proportional to 500,709.25, 751,182 and 163,748.58 is: 245,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,709.25 : 751,182 = 163,748.58 : x
  2. Step 2: Convert to fraction form
    500,709.25/751,182 = 163,748.58/x
  3. Step 3: Cross multiply
    500,709.25x = 751,182 × 163,748.58
  4. Step 4: Simplify right side
    500,709.25x = 123,004,985,821.56
  5. Step 5: Solve for x
    x = 123,004,985,821.56/500,709.25
  6. Step 6: Final answer
    x = 245,661.50

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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.