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Finding the Fourth Proportional to 493,742.88, 681,351.21 and 292,538.88

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Solution

The fourth proportional to 493,742.88, 681,351.21 and 292,538.88 is: 403,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,742.88 : 681,351.21 = 292,538.88 : x
  2. Step 2: Convert to fraction form
    493,742.88/681,351.21 = 292,538.88/x
  3. Step 3: Cross multiply
    493,742.88x = 681,351.21 × 292,538.88
  4. Step 4: Simplify right side
    493,742.88x = 199,321,719,860.05
  5. Step 5: Solve for x
    x = 199,321,719,860.05/493,742.88
  6. Step 6: Final answer
    x = 403,695.38

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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.