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Finding the Fourth Proportional to 257,464.80, 386,197.20 and 195,256.80

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Solution

The fourth proportional to 257,464.80, 386,197.20 and 195,256.80 is: 292,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,464.80 : 386,197.20 = 195,256.80 : x
  2. Step 2: Convert to fraction form
    257,464.80/386,197.20 = 195,256.80/x
  3. Step 3: Cross multiply
    257,464.80x = 386,197.20 × 195,256.80
  4. Step 4: Simplify right side
    257,464.80x = 75,407,629,440.96
  5. Step 5: Solve for x
    x = 75,407,629,440.96/257,464.80
  6. Step 6: Final answer
    x = 292,885.20

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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.