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Finding the Fourth Proportional to 577,122, 796,413.50 and 322,475.28

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Solution

The fourth proportional to 577,122, 796,413.50 and 322,475.28 is: 445,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,122 : 796,413.50 = 322,475.28 : x
  2. Step 2: Convert to fraction form
    577,122/796,413.50 = 322,475.28/x
  3. Step 3: Cross multiply
    577,122x = 796,413.50 × 322,475.28
  4. Step 4: Simplify right side
    577,122x = 256,823,666,408.28
  5. Step 5: Solve for x
    x = 256,823,666,408.28/577,122
  6. Step 6: Final answer
    x = 445,007.58

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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.