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Finding the Fourth Proportional to 422,661.88, 582,293.10 and 295,135.48

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Solution

The fourth proportional to 422,661.88, 582,293.10 and 295,135.48 is: 406,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,661.88 : 582,293.10 = 295,135.48 : x
  2. Step 2: Convert to fraction form
    422,661.88/582,293.10 = 295,135.48/x
  3. Step 3: Cross multiply
    422,661.88x = 582,293.10 × 295,135.48
  4. Step 4: Simplify right side
    422,661.88x = 171,855,353,569.19
  5. Step 5: Solve for x
    x = 171,855,353,569.19/422,661.88
  6. Step 6: Final answer
    x = 406,602.44

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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.