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Finding the Fourth Proportional to 257,121.60, 385,682.40 and 251,872.80

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Solution

The fourth proportional to 257,121.60, 385,682.40 and 251,872.80 is: 377,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,121.60 : 385,682.40 = 251,872.80 : x
  2. Step 2: Convert to fraction form
    257,121.60/385,682.40 = 251,872.80/x
  3. Step 3: Cross multiply
    257,121.60x = 385,682.40 × 251,872.80
  4. Step 4: Simplify right side
    257,121.60x = 97,142,905,998.72
  5. Step 5: Solve for x
    x = 97,142,905,998.72/257,121.60
  6. Step 6: Final answer
    x = 377,809.20

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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.