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Finding the Fourth Proportional to 307,266.42, 424,029.42 and 171,309

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Solution

The fourth proportional to 307,266.42, 424,029.42 and 171,309 is: 236,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,266.42 : 424,029.42 = 171,309 : x
  2. Step 2: Convert to fraction form
    307,266.42/424,029.42 = 171,309/x
  3. Step 3: Cross multiply
    307,266.42x = 424,029.42 × 171,309
  4. Step 4: Simplify right side
    307,266.42x = 72,640,055,910.78
  5. Step 5: Solve for x
    x = 72,640,055,910.78/307,266.42
  6. Step 6: Final answer
    x = 236,407.40

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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.