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Finding the Fourth Proportional to 257,031.43, 385,563.54 and 79,523.57

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Solution

The fourth proportional to 257,031.43, 385,563.54 and 79,523.57 is: 119,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,031.43 : 385,563.54 = 79,523.57 : x
  2. Step 2: Convert to fraction form
    257,031.43/385,563.54 = 79,523.57/x
  3. Step 3: Cross multiply
    257,031.43x = 385,563.54 × 79,523.57
  4. Step 4: Simplify right side
    257,031.43x = 30,661,389,162.64
  5. Step 5: Solve for x
    x = 30,661,389,162.64/257,031.43
  6. Step 6: Final answer
    x = 119,290.43

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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.