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Finding the Fourth Proportional to 329,296.74, 494,018.01 and 104,725.86

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Solution

The fourth proportional to 329,296.74, 494,018.01 and 104,725.86 is: 157,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,296.74 : 494,018.01 = 104,725.86 : x
  2. Step 2: Convert to fraction form
    329,296.74/494,018.01 = 104,725.86/x
  3. Step 3: Cross multiply
    329,296.74x = 494,018.01 × 104,725.86
  4. Step 4: Simplify right side
    329,296.74x = 51,736,460,952.74
  5. Step 5: Solve for x
    x = 51,736,460,952.74/329,296.74
  6. Step 6: Final answer
    x = 157,111.97

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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.