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Finding the Fourth Proportional to 325,447.40, 488,217.47 and 100,825.49

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Solution

The fourth proportional to 325,447.40, 488,217.47 and 100,825.49 is: 151,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,447.40 : 488,217.47 = 100,825.49 : x
  2. Step 2: Convert to fraction form
    325,447.40/488,217.47 = 100,825.49/x
  3. Step 3: Cross multiply
    325,447.40x = 488,217.47 × 100,825.49
  4. Step 4: Simplify right side
    325,447.40x = 49,224,762,694.10
  5. Step 5: Solve for x
    x = 49,224,762,694.10/325,447.40
  6. Step 6: Final answer
    x = 151,252.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.