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Finding the Fourth Proportional to 304,678.33, 420,426.75 and 182,146.49

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Solution

The fourth proportional to 304,678.33, 420,426.75 and 182,146.49 is: 251,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,678.33 : 420,426.75 = 182,146.49 : x
  2. Step 2: Convert to fraction form
    304,678.33/420,426.75 = 182,146.49/x
  3. Step 3: Cross multiply
    304,678.33x = 420,426.75 × 182,146.49
  4. Step 4: Simplify right side
    304,678.33x = 76,579,256,972.12
  5. Step 5: Solve for x
    x = 76,579,256,972.12/304,678.33
  6. Step 6: Final answer
    x = 251,344.62

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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.