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Finding the Fourth Proportional to 577,293.14, 796,662.53 and 322,644.33

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Solution

The fourth proportional to 577,293.14, 796,662.53 and 322,644.33 is: 445,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,293.14 : 796,662.53 = 322,644.33 : x
  2. Step 2: Convert to fraction form
    577,293.14/796,662.53 = 322,644.33/x
  3. Step 3: Cross multiply
    577,293.14x = 796,662.53 × 322,644.33
  4. Step 4: Simplify right side
    577,293.14x = 257,038,649,639.52
  5. Step 5: Solve for x
    x = 257,038,649,639.52/577,293.14
  6. Step 6: Final answer
    x = 445,248.06

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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.