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Finding the Fourth Proportional to 322,140.56, 482,846.27 and 164,035.04

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Solution

The fourth proportional to 322,140.56, 482,846.27 and 164,035.04 is: 245,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,140.56 : 482,846.27 = 164,035.04 : x
  2. Step 2: Convert to fraction form
    322,140.56/482,846.27 = 164,035.04/x
  3. Step 3: Cross multiply
    322,140.56x = 482,846.27 × 164,035.04
  4. Step 4: Simplify right side
    322,140.56x = 79,203,703,978.89
  5. Step 5: Solve for x
    x = 79,203,703,978.89/322,140.56
  6. Step 6: Final answer
    x = 245,866.91

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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.