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Finding the Fourth Proportional to 359,865, 496,657.44 and 208,962

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Solution

The fourth proportional to 359,865, 496,657.44 and 208,962 is: 288,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,865 : 496,657.44 = 208,962 : x
  2. Step 2: Convert to fraction form
    359,865/496,657.44 = 208,962/x
  3. Step 3: Cross multiply
    359,865x = 496,657.44 × 208,962
  4. Step 4: Simplify right side
    359,865x = 103,782,531,977.28
  5. Step 5: Solve for x
    x = 103,782,531,977.28/359,865
  6. Step 6: Final answer
    x = 288,392.96

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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.