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Finding the Fourth Proportional to 304,246.47, 419,857.65 and 168,286.22

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Solution

The fourth proportional to 304,246.47, 419,857.65 and 168,286.22 is: 232,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,246.47 : 419,857.65 = 168,286.22 : x
  2. Step 2: Convert to fraction form
    304,246.47/419,857.65 = 168,286.22/x
  3. Step 3: Cross multiply
    304,246.47x = 419,857.65 × 168,286.22
  4. Step 4: Simplify right side
    304,246.47x = 70,656,254,757.29
  5. Step 5: Solve for x
    x = 70,656,254,757.29/304,246.47
  6. Step 6: Final answer
    x = 232,233.61

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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.