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Finding the Fourth Proportional to 352,542.34, 527,805.87 and 330,196.06

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Solution

The fourth proportional to 352,542.34, 527,805.87 and 330,196.06 is: 494,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,542.34 : 527,805.87 = 330,196.06 : x
  2. Step 2: Convert to fraction form
    352,542.34/527,805.87 = 330,196.06/x
  3. Step 3: Cross multiply
    352,542.34x = 527,805.87 × 330,196.06
  4. Step 4: Simplify right side
    352,542.34x = 174,279,418,718.87
  5. Step 5: Solve for x
    x = 174,279,418,718.87/352,542.34
  6. Step 6: Final answer
    x = 494,350.32

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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.