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Finding the Fourth Proportional to 296,436.50, 409,082.37 and 162,300.50

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Solution

The fourth proportional to 296,436.50, 409,082.37 and 162,300.50 is: 223,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,436.50 : 409,082.37 = 162,300.50 : x
  2. Step 2: Convert to fraction form
    296,436.50/409,082.37 = 162,300.50/x
  3. Step 3: Cross multiply
    296,436.50x = 409,082.37 × 162,300.50
  4. Step 4: Simplify right side
    296,436.50x = 66,394,273,192.19
  5. Step 5: Solve for x
    x = 66,394,273,192.19/296,436.50
  6. Step 6: Final answer
    x = 223,974.69

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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.