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Finding the Fourth Proportional to 496,542.94, 744,231.12 and 229,739.74

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Solution

The fourth proportional to 496,542.94, 744,231.12 and 229,739.74 is: 344,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,542.94 : 744,231.12 = 229,739.74 : x
  2. Step 2: Convert to fraction form
    496,542.94/744,231.12 = 229,739.74/x
  3. Step 3: Cross multiply
    496,542.94x = 744,231.12 × 229,739.74
  4. Step 4: Simplify right side
    496,542.94x = 170,979,464,008.71
  5. Step 5: Solve for x
    x = 170,979,464,008.71/496,542.94
  6. Step 6: Final answer
    x = 344,339.73

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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.