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Finding the Fourth Proportional to 359,518.44, 496,165.21 and 206,586.34

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Solution

The fourth proportional to 359,518.44, 496,165.21 and 206,586.34 is: 285,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,518.44 : 496,165.21 = 206,586.34 : x
  2. Step 2: Convert to fraction form
    359,518.44/496,165.21 = 206,586.34/x
  3. Step 3: Cross multiply
    359,518.44x = 496,165.21 × 206,586.34
  4. Step 4: Simplify right side
    359,518.44x = 102,500,952,288.41
  5. Step 5: Solve for x
    x = 102,500,952,288.41/359,518.44
  6. Step 6: Final answer
    x = 285,106.25

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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.