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Finding the Fourth Proportional to 427,452.72, 589,902.12 and 236,462.82

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Solution

The fourth proportional to 427,452.72, 589,902.12 and 236,462.82 is: 326,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,452.72 : 589,902.12 = 236,462.82 : x
  2. Step 2: Convert to fraction form
    427,452.72/589,902.12 = 236,462.82/x
  3. Step 3: Cross multiply
    427,452.72x = 589,902.12 × 236,462.82
  4. Step 4: Simplify right side
    427,452.72x = 139,489,918,819.18
  5. Step 5: Solve for x
    x = 139,489,918,819.18/427,452.72
  6. Step 6: Final answer
    x = 326,328.30

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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.