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Finding the Fourth Proportional to 304,224.16, 419,817.36 and 168,249.12

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Solution

The fourth proportional to 304,224.16, 419,817.36 and 168,249.12 is: 232,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,224.16 : 419,817.36 = 168,249.12 : x
  2. Step 2: Convert to fraction form
    304,224.16/419,817.36 = 168,249.12/x
  3. Step 3: Cross multiply
    304,224.16x = 419,817.36 × 168,249.12
  4. Step 4: Simplify right side
    304,224.16x = 70,633,901,380.72
  5. Step 5: Solve for x
    x = 70,633,901,380.72/304,224.16
  6. Step 6: Final answer
    x = 232,177.16

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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.