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Finding the Fourth Proportional to 383,972.86, 575,492.28 and 271,685.50

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Solution

The fourth proportional to 383,972.86, 575,492.28 and 271,685.50 is: 407,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,972.86 : 575,492.28 = 271,685.50 : x
  2. Step 2: Convert to fraction form
    383,972.86/575,492.28 = 271,685.50/x
  3. Step 3: Cross multiply
    383,972.86x = 575,492.28 × 271,685.50
  4. Step 4: Simplify right side
    383,972.86x = 156,352,907,837.94
  5. Step 5: Solve for x
    x = 156,352,907,837.94/383,972.86
  6. Step 6: Final answer
    x = 407,197.81

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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.