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Finding the Fourth Proportional to 329,849.22, 494,806.24 and 93,193.74

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Solution

The fourth proportional to 329,849.22, 494,806.24 and 93,193.74 is: 139,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,849.22 : 494,806.24 = 93,193.74 : x
  2. Step 2: Convert to fraction form
    329,849.22/494,806.24 = 93,193.74/x
  3. Step 3: Cross multiply
    329,849.22x = 494,806.24 × 93,193.74
  4. Step 4: Simplify right side
    329,849.22x = 46,112,844,080.94
  5. Step 5: Solve for x
    x = 46,112,844,080.94/329,849.22
  6. Step 6: Final answer
    x = 139,799.77

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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.