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Finding the Fourth Proportional to 538,610.44, 743,248.46 and 296,879.64

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Solution

The fourth proportional to 538,610.44, 743,248.46 and 296,879.64 is: 409,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,610.44 : 743,248.46 = 296,879.64 : x
  2. Step 2: Convert to fraction form
    538,610.44/743,248.46 = 296,879.64/x
  3. Step 3: Cross multiply
    538,610.44x = 743,248.46 × 296,879.64
  4. Step 4: Simplify right side
    538,610.44x = 220,655,335,235.35
  5. Step 5: Solve for x
    x = 220,655,335,235.35/538,610.44
  6. Step 6: Final answer
    x = 409,675.19

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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.