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Finding the Fourth Proportional to 484,585.44, 726,961.20 and 164,703.48

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Solution

The fourth proportional to 484,585.44, 726,961.20 and 164,703.48 is: 247,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,585.44 : 726,961.20 = 164,703.48 : x
  2. Step 2: Convert to fraction form
    484,585.44/726,961.20 = 164,703.48/x
  3. Step 3: Cross multiply
    484,585.44x = 726,961.20 × 164,703.48
  4. Step 4: Simplify right side
    484,585.44x = 119,733,039,464.98
  5. Step 5: Solve for x
    x = 119,733,039,464.98/484,585.44
  6. Step 6: Final answer
    x = 247,083.44

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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.