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Finding the Fourth Proportional to 325,829.20, 488,743.80 and 157,478.80

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Solution

The fourth proportional to 325,829.20, 488,743.80 and 157,478.80 is: 236,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,829.20 : 488,743.80 = 157,478.80 : x
  2. Step 2: Convert to fraction form
    325,829.20/488,743.80 = 157,478.80/x
  3. Step 3: Cross multiply
    325,829.20x = 488,743.80 × 157,478.80
  4. Step 4: Simplify right side
    325,829.20x = 76,966,787,131.44
  5. Step 5: Solve for x
    x = 76,966,787,131.44/325,829.20
  6. Step 6: Final answer
    x = 236,218.20

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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.