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Finding the Fourth Proportional to 339,833.52, 509,050.32 and 199,253.16

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Solution

The fourth proportional to 339,833.52, 509,050.32 and 199,253.16 is: 298,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,833.52 : 509,050.32 = 199,253.16 : x
  2. Step 2: Convert to fraction form
    339,833.52/509,050.32 = 199,253.16/x
  3. Step 3: Cross multiply
    339,833.52x = 509,050.32 × 199,253.16
  4. Step 4: Simplify right side
    339,833.52x = 101,429,884,859.01
  5. Step 5: Solve for x
    x = 101,429,884,859.01/339,833.52
  6. Step 6: Final answer
    x = 298,469.34

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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.