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Finding the Fourth Proportional to 408,830.64, 613,267.17 and 124,499.22

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Solution

The fourth proportional to 408,830.64, 613,267.17 and 124,499.22 is: 186,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,830.64 : 613,267.17 = 124,499.22 : x
  2. Step 2: Convert to fraction form
    408,830.64/613,267.17 = 124,499.22/x
  3. Step 3: Cross multiply
    408,830.64x = 613,267.17 × 124,499.22
  4. Step 4: Simplify right side
    408,830.64x = 76,351,284,316.61
  5. Step 5: Solve for x
    x = 76,351,284,316.61/408,830.64
  6. Step 6: Final answer
    x = 186,755.29

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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.