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Finding the Fourth Proportional to 322,142.24, 482,992.88 and 164,064.80

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Solution

The fourth proportional to 322,142.24, 482,992.88 and 164,064.80 is: 245,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,142.24 : 482,992.88 = 164,064.80 : x
  2. Step 2: Convert to fraction form
    322,142.24/482,992.88 = 164,064.80/x
  3. Step 3: Cross multiply
    322,142.24x = 482,992.88 × 164,064.80
  4. Step 4: Simplify right side
    322,142.24x = 79,242,130,258.62
  5. Step 5: Solve for x
    x = 79,242,130,258.62/322,142.24
  6. Step 6: Final answer
    x = 245,984.91

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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.