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Finding the Fourth Proportional to 385,839.50, 532,462.23 and 213,761.12

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Solution

The fourth proportional to 385,839.50, 532,462.23 and 213,761.12 is: 294,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,839.50 : 532,462.23 = 213,761.12 : x
  2. Step 2: Convert to fraction form
    385,839.50/532,462.23 = 213,761.12/x
  3. Step 3: Cross multiply
    385,839.50x = 532,462.23 × 213,761.12
  4. Step 4: Simplify right side
    385,839.50x = 113,819,719,980.19
  5. Step 5: Solve for x
    x = 113,819,719,980.19/385,839.50
  6. Step 6: Final answer
    x = 294,992.40

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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.