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Finding the Fourth Proportional to 359,917.75, 496,686.50 and 209,024.47

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Solution

The fourth proportional to 359,917.75, 496,686.50 and 209,024.47 is: 288,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,917.75 : 496,686.50 = 209,024.47 : x
  2. Step 2: Convert to fraction form
    359,917.75/496,686.50 = 209,024.47/x
  3. Step 3: Cross multiply
    359,917.75x = 496,686.50 × 209,024.47
  4. Step 4: Simplify right side
    359,917.75x = 103,819,632,418.66
  5. Step 5: Solve for x
    x = 103,819,632,418.66/359,917.75
  6. Step 6: Final answer
    x = 288,453.77

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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.