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Finding the Fourth Proportional to 536,796, 805,198.86 and 162,819

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Solution

The fourth proportional to 536,796, 805,198.86 and 162,819 is: 244,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,796 : 805,198.86 = 162,819 : x
  2. Step 2: Convert to fraction form
    536,796/805,198.86 = 162,819/x
  3. Step 3: Cross multiply
    536,796x = 805,198.86 × 162,819
  4. Step 4: Simplify right side
    536,796x = 131,101,673,186.34
  5. Step 5: Solve for x
    x = 131,101,673,186.34/536,796
  6. Step 6: Final answer
    x = 244,229.97

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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.