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Finding the Fourth Proportional to 359,866, 496,658.82 and 208,963

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Solution

The fourth proportional to 359,866, 496,658.82 and 208,963 is: 288,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,866 : 496,658.82 = 208,963 : x
  2. Step 2: Convert to fraction form
    359,866/496,658.82 = 208,963/x
  3. Step 3: Cross multiply
    359,866x = 496,658.82 × 208,963
  4. Step 4: Simplify right side
    359,866x = 103,783,317,003.66
  5. Step 5: Solve for x
    x = 103,783,317,003.66/359,866
  6. Step 6: Final answer
    x = 288,394.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.