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Finding the Fourth Proportional to 384,677.80, 576,665.16 and 171,333.52

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Solution

The fourth proportional to 384,677.80, 576,665.16 and 171,333.52 is: 256,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,677.80 : 576,665.16 = 171,333.52 : x
  2. Step 2: Convert to fraction form
    384,677.80/576,665.16 = 171,333.52/x
  3. Step 3: Cross multiply
    384,677.80x = 576,665.16 × 171,333.52
  4. Step 4: Simplify right side
    384,677.80x = 98,802,071,724.16
  5. Step 5: Solve for x
    x = 98,802,071,724.16/384,677.80
  6. Step 6: Final answer
    x = 256,843.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.