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Finding the Fourth Proportional to 359,785.19, 496,480.59 and 206,786.93

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Solution

The fourth proportional to 359,785.19, 496,480.59 and 206,786.93 is: 285,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,785.19 : 496,480.59 = 206,786.93 : x
  2. Step 2: Convert to fraction form
    359,785.19/496,480.59 = 206,786.93/x
  3. Step 3: Cross multiply
    359,785.19x = 496,480.59 × 206,786.93
  4. Step 4: Simplify right side
    359,785.19x = 102,665,694,528.29
  5. Step 5: Solve for x
    x = 102,665,694,528.29/359,785.19
  6. Step 6: Final answer
    x = 285,352.75

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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.