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Finding the Fourth Proportional to 352,169.60, 527,908.80 and 314,844.80

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Solution

The fourth proportional to 352,169.60, 527,908.80 and 314,844.80 is: 471,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,169.60 : 527,908.80 = 314,844.80 : x
  2. Step 2: Convert to fraction form
    352,169.60/527,908.80 = 314,844.80/x
  3. Step 3: Cross multiply
    352,169.60x = 527,908.80 × 314,844.80
  4. Step 4: Simplify right side
    352,169.60x = 166,209,340,554.24
  5. Step 5: Solve for x
    x = 166,209,340,554.24/352,169.60
  6. Step 6: Final answer
    x = 471,958.23

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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.