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Finding the Fourth Proportional to 536,816, 805,228.86 and 162,839

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Solution

The fourth proportional to 536,816, 805,228.86 and 162,839 is: 244,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,816 : 805,228.86 = 162,839 : x
  2. Step 2: Convert to fraction form
    536,816/805,228.86 = 162,839/x
  3. Step 3: Cross multiply
    536,816x = 805,228.86 × 162,839
  4. Step 4: Simplify right side
    536,816x = 131,122,662,333.54
  5. Step 5: Solve for x
    x = 131,122,662,333.54/536,816
  6. Step 6: Final answer
    x = 244,259.97

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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.