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Finding the Fourth Proportional to 436,672.30, 654,786.90 and 199,811.98

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Solution

The fourth proportional to 436,672.30, 654,786.90 and 199,811.98 is: 299,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,672.30 : 654,786.90 = 199,811.98 : x
  2. Step 2: Convert to fraction form
    436,672.30/654,786.90 = 199,811.98/x
  3. Step 3: Cross multiply
    436,672.30x = 654,786.90 × 199,811.98
  4. Step 4: Simplify right side
    436,672.30x = 130,834,266,967.06
  5. Step 5: Solve for x
    x = 130,834,266,967.06/436,672.30
  6. Step 6: Final answer
    x = 299,616.59

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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.