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Finding the Fourth Proportional to 577,834.24, 797,406.91 and 323,185.43

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Solution

The fourth proportional to 577,834.24, 797,406.91 and 323,185.43 is: 445,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,834.24 : 797,406.91 = 323,185.43 : x
  2. Step 2: Convert to fraction form
    577,834.24/797,406.91 = 323,185.43/x
  3. Step 3: Cross multiply
    577,834.24x = 797,406.91 × 323,185.43
  4. Step 4: Simplify right side
    577,834.24x = 257,710,295,093.32
  5. Step 5: Solve for x
    x = 257,710,295,093.32/577,834.24
  6. Step 6: Final answer
    x = 445,993.47

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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.