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Finding the Fourth Proportional to 383,997.27, 529,928.96 and 209,577

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Solution

The fourth proportional to 383,997.27, 529,928.96 and 209,577 is: 289,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,997.27 : 529,928.96 = 209,577 : x
  2. Step 2: Convert to fraction form
    383,997.27/529,928.96 = 209,577/x
  3. Step 3: Cross multiply
    383,997.27x = 529,928.96 × 209,577
  4. Step 4: Simplify right side
    383,997.27x = 111,060,920,602.04
  5. Step 5: Solve for x
    x = 111,060,920,602.04/383,997.27
  6. Step 6: Final answer
    x = 289,223.20

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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.