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Finding the Fourth Proportional to 360,405.86, 497,340 and 199,251.50

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Solution

The fourth proportional to 360,405.86, 497,340 and 199,251.50 is: 274,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,405.86 : 497,340 = 199,251.50 : x
  2. Step 2: Convert to fraction form
    360,405.86/497,340 = 199,251.50/x
  3. Step 3: Cross multiply
    360,405.86x = 497,340 × 199,251.50
  4. Step 4: Simplify right side
    360,405.86x = 99,095,738,523.30
  5. Step 5: Solve for x
    x = 99,095,738,523.30/360,405.86
  6. Step 6: Final answer
    x = 274,955.96

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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.