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Finding the Fourth Proportional to 287,748.25, 397,169.17 and 169,978.36

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Solution

The fourth proportional to 287,748.25, 397,169.17 and 169,978.36 is: 234,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,748.25 : 397,169.17 = 169,978.36 : x
  2. Step 2: Convert to fraction form
    287,748.25/397,169.17 = 169,978.36/x
  3. Step 3: Cross multiply
    287,748.25x = 397,169.17 × 169,978.36
  4. Step 4: Simplify right side
    287,748.25x = 67,510,163,309.27
  5. Step 5: Solve for x
    x = 67,510,163,309.27/287,748.25
  6. Step 6: Final answer
    x = 234,615.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.