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Finding the Fourth Proportional to 329,873.76, 494,843.04 and 93,218.24

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Solution

The fourth proportional to 329,873.76, 494,843.04 and 93,218.24 is: 139,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,873.76 : 494,843.04 = 93,218.24 : x
  2. Step 2: Convert to fraction form
    329,873.76/494,843.04 = 93,218.24/x
  3. Step 3: Cross multiply
    329,873.76x = 494,843.04 × 93,218.24
  4. Step 4: Simplify right side
    329,873.76x = 46,128,397,265.05
  5. Step 5: Solve for x
    x = 46,128,397,265.05/329,873.76
  6. Step 6: Final answer
    x = 139,836.52

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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.