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Finding the Fourth Proportional to 339,024.42, 508,536.56 and 264,200.54

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Solution

The fourth proportional to 339,024.42, 508,536.56 and 264,200.54 is: 396,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,024.42 : 508,536.56 = 264,200.54 : x
  2. Step 2: Convert to fraction form
    339,024.42/508,536.56 = 264,200.54/x
  3. Step 3: Cross multiply
    339,024.42x = 508,536.56 × 264,200.54
  4. Step 4: Simplify right side
    339,024.42x = 134,355,633,761.74
  5. Step 5: Solve for x
    x = 134,355,633,761.74/339,024.42
  6. Step 6: Final answer
    x = 396,300.76

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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.