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Finding the Fourth Proportional to 577,486.14, 796,910.85 and 322,836.72

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Solution

The fourth proportional to 577,486.14, 796,910.85 and 322,836.72 is: 445,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,486.14 : 796,910.85 = 322,836.72 : x
  2. Step 2: Convert to fraction form
    577,486.14/796,910.85 = 322,836.72/x
  3. Step 3: Cross multiply
    577,486.14x = 796,910.85 × 322,836.72
  4. Step 4: Simplify right side
    577,486.14x = 257,272,084,946.41
  5. Step 5: Solve for x
    x = 257,272,084,946.41/577,486.14
  6. Step 6: Final answer
    x = 445,503.48

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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.