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Finding the Fourth Proportional to 329,295.24, 494,015.76 and 104,724.36

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Solution

The fourth proportional to 329,295.24, 494,015.76 and 104,724.36 is: 157,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,295.24 : 494,015.76 = 104,724.36 : x
  2. Step 2: Convert to fraction form
    329,295.24/494,015.76 = 104,724.36/x
  3. Step 3: Cross multiply
    329,295.24x = 494,015.76 × 104,724.36
  4. Step 4: Simplify right side
    329,295.24x = 51,735,484,295.91
  5. Step 5: Solve for x
    x = 51,735,484,295.91/329,295.24
  6. Step 6: Final answer
    x = 157,109.72

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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.