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Finding the Fourth Proportional to 359,550.40, 496,278.24 and 208,696

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Solution

The fourth proportional to 359,550.40, 496,278.24 and 208,696 is: 288,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,550.40 : 496,278.24 = 208,696 : x
  2. Step 2: Convert to fraction form
    359,550.40/496,278.24 = 208,696/x
  3. Step 3: Cross multiply
    359,550.40x = 496,278.24 × 208,696
  4. Step 4: Simplify right side
    359,550.40x = 103,571,283,575.04
  5. Step 5: Solve for x
    x = 103,571,283,575.04/359,550.40
  6. Step 6: Final answer
    x = 288,057.76

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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.