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Finding the Fourth Proportional to 296,360.96, 408,989.76 and 162,224.96

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Solution

The fourth proportional to 296,360.96, 408,989.76 and 162,224.96 is: 223,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,360.96 : 408,989.76 = 162,224.96 : x
  2. Step 2: Convert to fraction form
    296,360.96/408,989.76 = 162,224.96/x
  3. Step 3: Cross multiply
    296,360.96x = 408,989.76 × 162,224.96
  4. Step 4: Simplify right side
    296,360.96x = 66,348,347,456.41
  5. Step 5: Solve for x
    x = 66,348,347,456.41/296,360.96
  6. Step 6: Final answer
    x = 223,876.81

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1.5x scale

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.