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Finding the Fourth Proportional to 433,086.75, 649,690.07 and 133,590.87

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Solution

The fourth proportional to 433,086.75, 649,690.07 and 133,590.87 is: 200,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,086.75 : 649,690.07 = 133,590.87 : x
  2. Step 2: Convert to fraction form
    433,086.75/649,690.07 = 133,590.87/x
  3. Step 3: Cross multiply
    433,086.75x = 649,690.07 × 133,590.87
  4. Step 4: Simplify right side
    433,086.75x = 86,792,661,013.71
  5. Step 5: Solve for x
    x = 86,792,661,013.71/433,086.75
  6. Step 6: Final answer
    x = 200,404.79

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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.