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Finding the Fourth Proportional to 359,799.90, 496,539.99 and 206,887.74

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Solution

The fourth proportional to 359,799.90, 496,539.99 and 206,887.74 is: 285,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,799.90 : 496,539.99 = 206,887.74 : x
  2. Step 2: Convert to fraction form
    359,799.90/496,539.99 = 206,887.74/x
  3. Step 3: Cross multiply
    359,799.90x = 496,539.99 × 206,887.74
  4. Step 4: Simplify right side
    359,799.90x = 102,728,036,350.72
  5. Step 5: Solve for x
    x = 102,728,036,350.72/359,799.90
  6. Step 6: Final answer
    x = 285,514.35

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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.