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Finding the Fourth Proportional to 395,651.94, 545,967.33 and 232,291.23

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Solution

The fourth proportional to 395,651.94, 545,967.33 and 232,291.23 is: 320,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,651.94 : 545,967.33 = 232,291.23 : x
  2. Step 2: Convert to fraction form
    395,651.94/545,967.33 = 232,291.23/x
  3. Step 3: Cross multiply
    395,651.94x = 545,967.33 × 232,291.23
  4. Step 4: Simplify right side
    395,651.94x = 126,823,422,625.52
  5. Step 5: Solve for x
    x = 126,823,422,625.52/395,651.94
  6. Step 6: Final answer
    x = 320,542.91

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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.