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Finding the Fourth Proportional to 389,109.38, 536,979.14 and 219,343.50

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Solution

The fourth proportional to 389,109.38, 536,979.14 and 219,343.50 is: 302,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,109.38 : 536,979.14 = 219,343.50 : x
  2. Step 2: Convert to fraction form
    389,109.38/536,979.14 = 219,343.50/x
  3. Step 3: Cross multiply
    389,109.38x = 536,979.14 × 219,343.50
  4. Step 4: Simplify right side
    389,109.38x = 117,782,883,720.41
  5. Step 5: Solve for x
    x = 117,782,883,720.41/389,109.38
  6. Step 6: Final answer
    x = 302,698.65

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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.