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Finding the Fourth Proportional to 364,823.34, 503,540.19 and 213,968.94

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Solution

The fourth proportional to 364,823.34, 503,540.19 and 213,968.94 is: 295,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,823.34 : 503,540.19 = 213,968.94 : x
  2. Step 2: Convert to fraction form
    364,823.34/503,540.19 = 213,968.94/x
  3. Step 3: Cross multiply
    364,823.34x = 503,540.19 × 213,968.94
  4. Step 4: Simplify right side
    364,823.34x = 107,741,960,701.70
  5. Step 5: Solve for x
    x = 107,741,960,701.70/364,823.34
  6. Step 6: Final answer
    x = 295,326.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.