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Finding the Fourth Proportional to 362,458.62, 500,179.06 and 201,324

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Solution

The fourth proportional to 362,458.62, 500,179.06 and 201,324 is: 277,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,458.62 : 500,179.06 = 201,324 : x
  2. Step 2: Convert to fraction form
    362,458.62/500,179.06 = 201,324/x
  3. Step 3: Cross multiply
    362,458.62x = 500,179.06 × 201,324
  4. Step 4: Simplify right side
    362,458.62x = 100,698,048,068.82
  5. Step 5: Solve for x
    x = 100,698,048,068.82/362,458.62
  6. Step 6: Final answer
    x = 277,819.43

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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.