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Finding the Fourth Proportional to 436,690.56, 654,814.26 and 199,830.27

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Solution

The fourth proportional to 436,690.56, 654,814.26 and 199,830.27 is: 299,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,690.56 : 654,814.26 = 199,830.27 : x
  2. Step 2: Convert to fraction form
    436,690.56/654,814.26 = 199,830.27/x
  3. Step 3: Cross multiply
    436,690.56x = 654,814.26 × 199,830.27
  4. Step 4: Simplify right side
    436,690.56x = 130,851,710,375.65
  5. Step 5: Solve for x
    x = 130,851,710,375.65/436,690.56
  6. Step 6: Final answer
    x = 299,644.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.