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Finding the Fourth Proportional to 411,523.74, 567,776.76 and 268,231.50

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Solution

The fourth proportional to 411,523.74, 567,776.76 and 268,231.50 is: 370,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,523.74 : 567,776.76 = 268,231.50 : x
  2. Step 2: Convert to fraction form
    411,523.74/567,776.76 = 268,231.50/x
  3. Step 3: Cross multiply
    411,523.74x = 567,776.76 × 268,231.50
  4. Step 4: Simplify right side
    411,523.74x = 152,295,611,999.94
  5. Step 5: Solve for x
    x = 152,295,611,999.94/411,523.74
  6. Step 6: Final answer
    x = 370,077.34

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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.