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Finding the Fourth Proportional to 364,403.22, 546,604.92 and 195,691.47

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Solution

The fourth proportional to 364,403.22, 546,604.92 and 195,691.47 is: 293,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,403.22 : 546,604.92 = 195,691.47 : x
  2. Step 2: Convert to fraction form
    364,403.22/546,604.92 = 195,691.47/x
  3. Step 3: Cross multiply
    364,403.22x = 546,604.92 × 195,691.47
  4. Step 4: Simplify right side
    364,403.22x = 106,965,920,304.03
  5. Step 5: Solve for x
    x = 106,965,920,304.03/364,403.22
  6. Step 6: Final answer
    x = 293,537.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.