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Finding the Fourth Proportional to 297,989.39, 411,214.02 and 162,023.44

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Solution

The fourth proportional to 297,989.39, 411,214.02 and 162,023.44 is: 223,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,989.39 : 411,214.02 = 162,023.44 : x
  2. Step 2: Convert to fraction form
    297,989.39/411,214.02 = 162,023.44/x
  3. Step 3: Cross multiply
    297,989.39x = 411,214.02 × 162,023.44
  4. Step 4: Simplify right side
    297,989.39x = 66,626,309,068.59
  5. Step 5: Solve for x
    x = 66,626,309,068.59/297,989.39
  6. Step 6: Final answer
    x = 223,586.18

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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.