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Finding the Fourth Proportional to 322,585.67, 483,976.89 and 164,924.84

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Solution

The fourth proportional to 322,585.67, 483,976.89 and 164,924.84 is: 247,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,585.67 : 483,976.89 = 164,924.84 : x
  2. Step 2: Convert to fraction form
    322,585.67/483,976.89 = 164,924.84/x
  3. Step 3: Cross multiply
    322,585.67x = 483,976.89 × 164,924.84
  4. Step 4: Simplify right side
    322,585.67x = 79,819,812,356.89
  5. Step 5: Solve for x
    x = 79,819,812,356.89/322,585.67
  6. Step 6: Final answer
    x = 247,437.56

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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.