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Finding the Fourth Proportional to 304,272.16, 419,910.32 and 168,305.52

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Solution

The fourth proportional to 304,272.16, 419,910.32 and 168,305.52 is: 232,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,272.16 : 419,910.32 = 168,305.52 : x
  2. Step 2: Convert to fraction form
    304,272.16/419,910.32 = 168,305.52/x
  3. Step 3: Cross multiply
    304,272.16x = 419,910.32 × 168,305.52
  4. Step 4: Simplify right side
    304,272.16x = 70,673,224,760.97
  5. Step 5: Solve for x
    x = 70,673,224,760.97/304,272.16
  6. Step 6: Final answer
    x = 232,269.77

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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.