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Finding the Fourth Proportional to 359,660.49, 496,257.38 and 206,669.12

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Solution

The fourth proportional to 359,660.49, 496,257.38 and 206,669.12 is: 285,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,660.49 : 496,257.38 = 206,669.12 : x
  2. Step 2: Convert to fraction form
    359,660.49/496,257.38 = 206,669.12/x
  3. Step 3: Cross multiply
    359,660.49x = 496,257.38 × 206,669.12
  4. Step 4: Simplify right side
    359,660.49x = 102,561,076,651.19
  5. Step 5: Solve for x
    x = 102,561,076,651.19/359,660.49
  6. Step 6: Final answer
    x = 285,160.81

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1.5x scale

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.