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Finding the Fourth Proportional to 577,442.24, 796,871.20 and 322,793.12

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Solution

The fourth proportional to 577,442.24, 796,871.20 and 322,793.12 is: 445,455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,442.24 : 796,871.20 = 322,793.12 : x
  2. Step 2: Convert to fraction form
    577,442.24/796,871.20 = 322,793.12/x
  3. Step 3: Cross multiply
    577,442.24x = 796,871.20 × 322,793.12
  4. Step 4: Simplify right side
    577,442.24x = 257,224,540,886.14
  5. Step 5: Solve for x
    x = 257,224,540,886.14/577,442.24
  6. Step 6: Final answer
    x = 445,455.01

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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.