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Finding the Fourth Proportional to 496,725.52, 745,199.40 and 181,182.44

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Solution

The fourth proportional to 496,725.52, 745,199.40 and 181,182.44 is: 271,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,725.52 : 745,199.40 = 181,182.44 : x
  2. Step 2: Convert to fraction form
    496,725.52/745,199.40 = 181,182.44/x
  3. Step 3: Cross multiply
    496,725.52x = 745,199.40 × 181,182.44
  4. Step 4: Simplify right side
    496,725.52x = 135,017,045,578.54
  5. Step 5: Solve for x
    x = 135,017,045,578.54/496,725.52
  6. Step 6: Final answer
    x = 271,814.19

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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.