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Finding the Fourth Proportional to 496,243.92, 744,657.48 and 180,719.76

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Solution

The fourth proportional to 496,243.92, 744,657.48 and 180,719.76 is: 271,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,243.92 : 744,657.48 = 180,719.76 : x
  2. Step 2: Convert to fraction form
    496,243.92/744,657.48 = 180,719.76/x
  3. Step 3: Cross multiply
    496,243.92x = 744,657.48 × 180,719.76
  4. Step 4: Simplify right side
    496,243.92x = 134,574,321,067.81
  5. Step 5: Solve for x
    x = 134,574,321,067.81/496,243.92
  6. Step 6: Final answer
    x = 271,185.83

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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.