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Finding the Fourth Proportional to 408,782.15, 613,147.97 and 152,564.84

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Solution

The fourth proportional to 408,782.15, 613,147.97 and 152,564.84 is: 228,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,782.15 : 613,147.97 = 152,564.84 : x
  2. Step 2: Convert to fraction form
    408,782.15/613,147.97 = 152,564.84/x
  3. Step 3: Cross multiply
    408,782.15x = 613,147.97 × 152,564.84
  4. Step 4: Simplify right side
    408,782.15x = 93,544,821,939.37
  5. Step 5: Solve for x
    x = 93,544,821,939.37/408,782.15
  6. Step 6: Final answer
    x = 228,837.83

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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.