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Finding the Fourth Proportional to 329,873.43, 494,830.14 and 93,233.82

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Solution

The fourth proportional to 329,873.43, 494,830.14 and 93,233.82 is: 139,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,873.43 : 494,830.14 = 93,233.82 : x
  2. Step 2: Convert to fraction form
    329,873.43/494,830.14 = 93,233.82/x
  3. Step 3: Cross multiply
    329,873.43x = 494,830.14 × 93,233.82
  4. Step 4: Simplify right side
    329,873.43x = 46,134,904,203.33
  5. Step 5: Solve for x
    x = 46,134,904,203.33/329,873.43
  6. Step 6: Final answer
    x = 139,856.38

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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.