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Finding the Fourth Proportional to 352,168.60, 527,907.30 and 314,843.80

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Solution

The fourth proportional to 352,168.60, 527,907.30 and 314,843.80 is: 471,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,168.60 : 527,907.30 = 314,843.80 : x
  2. Step 2: Convert to fraction form
    352,168.60/527,907.30 = 314,843.80/x
  3. Step 3: Cross multiply
    352,168.60x = 527,907.30 × 314,843.80
  4. Step 4: Simplify right side
    352,168.60x = 166,208,340,379.74
  5. Step 5: Solve for x
    x = 166,208,340,379.74/352,168.60
  6. Step 6: Final answer
    x = 471,956.73

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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.