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Finding the Fourth Proportional to 303,998.16, 419,516.64 and 169,862.16

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Solution

The fourth proportional to 303,998.16, 419,516.64 and 169,862.16 is: 234,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,998.16 : 419,516.64 = 169,862.16 : x
  2. Step 2: Convert to fraction form
    303,998.16/419,516.64 = 169,862.16/x
  3. Step 3: Cross multiply
    303,998.16x = 419,516.64 × 169,862.16
  4. Step 4: Simplify right side
    303,998.16x = 71,260,002,626.34
  5. Step 5: Solve for x
    x = 71,260,002,626.34/303,998.16
  6. Step 6: Final answer
    x = 234,409.32

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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.