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Finding the Fourth Proportional to 537,729.55, 806,594.34 and 200,796.50

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Solution

The fourth proportional to 537,729.55, 806,594.34 and 200,796.50 is: 301,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,729.55 : 806,594.34 = 200,796.50 : x
  2. Step 2: Convert to fraction form
    537,729.55/806,594.34 = 200,796.50/x
  3. Step 3: Cross multiply
    537,729.55x = 806,594.34 × 200,796.50
  4. Step 4: Simplify right side
    537,729.55x = 161,961,319,387.83
  5. Step 5: Solve for x
    x = 161,961,319,387.83/537,729.55
  6. Step 6: Final answer
    x = 301,194.76

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