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Finding the Fourth Proportional to 577,982.72, 797,617.32 and 323,338.16

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Solution

The fourth proportional to 577,982.72, 797,617.32 and 323,338.16 is: 446,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,982.72 : 797,617.32 = 323,338.16 : x
  2. Step 2: Convert to fraction form
    577,982.72/797,617.32 = 323,338.16/x
  3. Step 3: Cross multiply
    577,982.72x = 797,617.32 × 323,338.16
  4. Step 4: Simplify right side
    577,982.72x = 257,900,116,632.93
  5. Step 5: Solve for x
    x = 257,900,116,632.93/577,982.72
  6. Step 6: Final answer
    x = 446,207.31

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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.