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Finding the Fourth Proportional to 296,232, 408,800.16 and 162,096

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Solution

The fourth proportional to 296,232, 408,800.16 and 162,096 is: 223,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,232 : 408,800.16 = 162,096 : x
  2. Step 2: Convert to fraction form
    296,232/408,800.16 = 162,096/x
  3. Step 3: Cross multiply
    296,232x = 408,800.16 × 162,096
  4. Step 4: Simplify right side
    296,232x = 66,264,870,735.36
  5. Step 5: Solve for x
    x = 66,264,870,735.36/296,232
  6. Step 6: Final answer
    x = 223,692.48

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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.