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Finding the Fourth Proportional to 329,838.48, 494,778.24 and 93,199.32

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Solution

The fourth proportional to 329,838.48, 494,778.24 and 93,199.32 is: 139,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,838.48 : 494,778.24 = 93,199.32 : x
  2. Step 2: Convert to fraction form
    329,838.48/494,778.24 = 93,199.32/x
  3. Step 3: Cross multiply
    329,838.48x = 494,778.24 × 93,199.32
  4. Step 4: Simplify right side
    329,838.48x = 46,112,995,518.80
  5. Step 5: Solve for x
    x = 46,112,995,518.80/329,838.48
  6. Step 6: Final answer
    x = 139,804.78

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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.