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Finding the Fourth Proportional to 329,557.95, 493,772.49 and 179,903.16

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Solution

The fourth proportional to 329,557.95, 493,772.49 and 179,903.16 is: 269,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,557.95 : 493,772.49 = 179,903.16 : x
  2. Step 2: Convert to fraction form
    329,557.95/493,772.49 = 179,903.16/x
  3. Step 3: Cross multiply
    329,557.95x = 493,772.49 × 179,903.16
  4. Step 4: Simplify right side
    329,557.95x = 88,831,231,272.07
  5. Step 5: Solve for x
    x = 88,831,231,272.07/329,557.95
  6. Step 6: Final answer
    x = 269,546.62

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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.