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Finding the Fourth Proportional to 389,114.50, 536,986.22 and 219,348.63

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Solution

The fourth proportional to 389,114.50, 536,986.22 and 219,348.63 is: 302,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,114.50 : 536,986.22 = 219,348.63 : x
  2. Step 2: Convert to fraction form
    389,114.50/536,986.22 = 219,348.63/x
  3. Step 3: Cross multiply
    389,114.50x = 536,986.22 × 219,348.63
  4. Step 4: Simplify right side
    389,114.50x = 117,787,191,685.88
  5. Step 5: Solve for x
    x = 117,787,191,685.88/389,114.50
  6. Step 6: Final answer
    x = 302,705.74

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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.