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Finding the Fourth Proportional to 399,829.07, 599,775.17 and 133,590.51

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Solution

The fourth proportional to 399,829.07, 599,775.17 and 133,590.51 is: 200,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,829.07 : 599,775.17 = 133,590.51 : x
  2. Step 2: Convert to fraction form
    399,829.07/599,775.17 = 133,590.51/x
  3. Step 3: Cross multiply
    399,829.07x = 599,775.17 × 133,590.51
  4. Step 4: Simplify right side
    399,829.07x = 80,124,270,177.68
  5. Step 5: Solve for x
    x = 80,124,270,177.68/399,829.07
  6. Step 6: Final answer
    x = 200,396.31

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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.