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Finding the Fourth Proportional to 304,983.34, 420,906.32 and 169,046.71

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Solution

The fourth proportional to 304,983.34, 420,906.32 and 169,046.71 is: 233,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,983.34 : 420,906.32 = 169,046.71 : x
  2. Step 2: Convert to fraction form
    304,983.34/420,906.32 = 169,046.71/x
  3. Step 3: Cross multiply
    304,983.34x = 420,906.32 × 169,046.71
  4. Step 4: Simplify right side
    304,983.34x = 71,152,828,614.21
  5. Step 5: Solve for x
    x = 71,152,828,614.21/304,983.34
  6. Step 6: Final answer
    x = 233,300.71

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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.