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Finding the Fourth Proportional to 329,564.70, 494,494.74 and 151,976.52

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Solution

The fourth proportional to 329,564.70, 494,494.74 and 151,976.52 is: 228,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,564.70 : 494,494.74 = 151,976.52 : x
  2. Step 2: Convert to fraction form
    329,564.70/494,494.74 = 151,976.52/x
  3. Step 3: Cross multiply
    329,564.70x = 494,494.74 × 151,976.52
  4. Step 4: Simplify right side
    329,564.70x = 75,151,589,743.50
  5. Step 5: Solve for x
    x = 75,151,589,743.50/329,564.70
  6. Step 6: Final answer
    x = 228,032.89

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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.