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Finding the Fourth Proportional to 577,849.26, 797,435.08 and 323,200.38

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Solution

The fourth proportional to 577,849.26, 797,435.08 and 323,200.38 is: 446,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,849.26 : 797,435.08 = 323,200.38 : x
  2. Step 2: Convert to fraction form
    577,849.26/797,435.08 = 323,200.38/x
  3. Step 3: Cross multiply
    577,849.26x = 797,435.08 × 323,200.38
  4. Step 4: Simplify right side
    577,849.26x = 257,731,320,881.33
  5. Step 5: Solve for x
    x = 257,731,320,881.33/577,849.26
  6. Step 6: Final answer
    x = 446,018.26

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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.