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Finding the Fourth Proportional to 613,109.26, 919,702.77 and 192,401.74

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Solution

The fourth proportional to 613,109.26, 919,702.77 and 192,401.74 is: 288,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,109.26 : 919,702.77 = 192,401.74 : x
  2. Step 2: Convert to fraction form
    613,109.26/919,702.77 = 192,401.74/x
  3. Step 3: Cross multiply
    613,109.26x = 919,702.77 × 192,401.74
  4. Step 4: Simplify right side
    613,109.26x = 176,952,413,230.82
  5. Step 5: Solve for x
    x = 176,952,413,230.82/613,109.26
  6. Step 6: Final answer
    x = 288,614.81

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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.