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Finding the Fourth Proportional to 339,024.67, 508,536.95 and 264,200.78

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Solution

The fourth proportional to 339,024.67, 508,536.95 and 264,200.78 is: 396,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,024.67 : 508,536.95 = 264,200.78 : x
  2. Step 2: Convert to fraction form
    339,024.67/508,536.95 = 264,200.78/x
  3. Step 3: Cross multiply
    339,024.67x = 508,536.95 × 264,200.78
  4. Step 4: Simplify right side
    339,024.67x = 134,355,858,799.16
  5. Step 5: Solve for x
    x = 134,355,858,799.16/339,024.67
  6. Step 6: Final answer
    x = 396,301.13

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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.