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Finding the Fourth Proportional to 234,196.96, 353,132.44 and 214,601.44

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Solution

The fourth proportional to 234,196.96, 353,132.44 and 214,601.44 is: 323,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,196.96 : 353,132.44 = 214,601.44 : x
  2. Step 2: Convert to fraction form
    234,196.96/353,132.44 = 214,601.44/x
  3. Step 3: Cross multiply
    234,196.96x = 353,132.44 × 214,601.44
  4. Step 4: Simplify right side
    234,196.96x = 75,782,730,134.71
  5. Step 5: Solve for x
    x = 75,782,730,134.71/234,196.96
  6. Step 6: Final answer
    x = 323,585.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.