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Finding the Fourth Proportional to 603,198, 832,413.24 and 334,926

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Solution

The fourth proportional to 603,198, 832,413.24 and 334,926 is: 462,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,198 : 832,413.24 = 334,926 : x
  2. Step 2: Convert to fraction form
    603,198/832,413.24 = 334,926/x
  3. Step 3: Cross multiply
    603,198x = 832,413.24 × 334,926
  4. Step 4: Simplify right side
    603,198x = 278,796,836,820.24
  5. Step 5: Solve for x
    x = 278,796,836,820.24/603,198
  6. Step 6: Final answer
    x = 462,197.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.