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Finding the Fourth Proportional to 359,804.70, 496,559.64 and 206,892.60

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Solution

The fourth proportional to 359,804.70, 496,559.64 and 206,892.60 is: 285,528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,804.70 : 496,559.64 = 206,892.60 : x
  2. Step 2: Convert to fraction form
    359,804.70/496,559.64 = 206,892.60/x
  3. Step 3: Cross multiply
    359,804.70x = 496,559.64 × 206,892.60
  4. Step 4: Simplify right side
    359,804.70x = 102,734,514,974.66
  5. Step 5: Solve for x
    x = 102,734,514,974.66/359,804.70
  6. Step 6: Final answer
    x = 285,528.55

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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.