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Finding the Fourth Proportional to 264,085.58, 364,013.66 and 206,625.80

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Solution

The fourth proportional to 264,085.58, 364,013.66 and 206,625.80 is: 284,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,085.58 : 364,013.66 = 206,625.80 : x
  2. Step 2: Convert to fraction form
    264,085.58/364,013.66 = 206,625.80/x
  3. Step 3: Cross multiply
    264,085.58x = 364,013.66 × 206,625.80
  4. Step 4: Simplify right side
    264,085.58x = 75,214,610,855.23
  5. Step 5: Solve for x
    x = 75,214,610,855.23/264,085.58
  6. Step 6: Final answer
    x = 284,811.51

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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.