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Finding the Fourth Proportional to 299,032.48, 412,674.78 and 163,073.86

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Solution

The fourth proportional to 299,032.48, 412,674.78 and 163,073.86 is: 225,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,032.48 : 412,674.78 = 163,073.86 : x
  2. Step 2: Convert to fraction form
    299,032.48/412,674.78 = 163,073.86/x
  3. Step 3: Cross multiply
    299,032.48x = 412,674.78 × 163,073.86
  4. Step 4: Simplify right side
    299,032.48x = 67,296,469,299.25
  5. Step 5: Solve for x
    x = 67,296,469,299.25/299,032.48
  6. Step 6: Final answer
    x = 225,047.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.