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Finding the Fourth Proportional to 493,987.50, 681,703.38 and 267,633

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Solution

The fourth proportional to 493,987.50, 681,703.38 and 267,633 is: 369,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,987.50 : 681,703.38 = 267,633 : x
  2. Step 2: Convert to fraction form
    493,987.50/681,703.38 = 267,633/x
  3. Step 3: Cross multiply
    493,987.50x = 681,703.38 × 267,633
  4. Step 4: Simplify right side
    493,987.50x = 182,446,320,699.54
  5. Step 5: Solve for x
    x = 182,446,320,699.54/493,987.50
  6. Step 6: Final answer
    x = 369,333.88

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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.