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Finding the Fourth Proportional to 339,772.91, 510,013.44 and 332,148.65

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Solution

The fourth proportional to 339,772.91, 510,013.44 and 332,148.65 is: 498,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,772.91 : 510,013.44 = 332,148.65 : x
  2. Step 2: Convert to fraction form
    339,772.91/510,013.44 = 332,148.65/x
  3. Step 3: Cross multiply
    339,772.91x = 510,013.44 × 332,148.65
  4. Step 4: Simplify right side
    339,772.91x = 169,400,273,027.79
  5. Step 5: Solve for x
    x = 169,400,273,027.79/339,772.91
  6. Step 6: Final answer
    x = 498,569.10

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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.