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Finding the Fourth Proportional to 304,843.29, 420,682.37 and 175,781.13

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Solution

The fourth proportional to 304,843.29, 420,682.37 and 175,781.13 is: 242,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,843.29 : 420,682.37 = 175,781.13 : x
  2. Step 2: Convert to fraction form
    304,843.29/420,682.37 = 175,781.13/x
  3. Step 3: Cross multiply
    304,843.29x = 420,682.37 × 175,781.13
  4. Step 4: Simplify right side
    304,843.29x = 73,948,022,369.68
  5. Step 5: Solve for x
    x = 73,948,022,369.68/304,843.29
  6. Step 6: Final answer
    x = 242,577.17

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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.