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Finding the Fourth Proportional to 307,404, 424,567.44 and 206,627.04

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Solution

The fourth proportional to 307,404, 424,567.44 and 206,627.04 is: 285,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,404 : 424,567.44 = 206,627.04 : x
  2. Step 2: Convert to fraction form
    307,404/424,567.44 = 206,627.04/x
  3. Step 3: Cross multiply
    307,404x = 424,567.44 × 206,627.04
  4. Step 4: Simplify right side
    307,404x = 87,727,113,407.58
  5. Step 5: Solve for x
    x = 87,727,113,407.58/307,404
  6. Step 6: Final answer
    x = 285,380.52

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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.