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Finding the Fourth Proportional to 359,887.36, 496,544.40 and 206,917.12

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Solution

The fourth proportional to 359,887.36, 496,544.40 and 206,917.12 is: 285,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,887.36 : 496,544.40 = 206,917.12 : x
  2. Step 2: Convert to fraction form
    359,887.36/496,544.40 = 206,917.12/x
  3. Step 3: Cross multiply
    359,887.36x = 496,544.40 × 206,917.12
  4. Step 4: Simplify right side
    359,887.36x = 102,743,537,200.13
  5. Step 5: Solve for x
    x = 102,743,537,200.13/359,887.36
  6. Step 6: Final answer
    x = 285,488.04

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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.