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Finding the Fourth Proportional to 427,245.76, 641,253.84 and 227,732.32

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Solution

The fourth proportional to 427,245.76, 641,253.84 and 227,732.32 is: 341,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,245.76 : 641,253.84 = 227,732.32 : x
  2. Step 2: Convert to fraction form
    427,245.76/641,253.84 = 227,732.32/x
  3. Step 3: Cross multiply
    427,245.76x = 641,253.84 × 227,732.32
  4. Step 4: Simplify right side
    427,245.76x = 146,034,224,692.11
  5. Step 5: Solve for x
    x = 146,034,224,692.11/427,245.76
  6. Step 6: Final answer
    x = 341,803.80

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Why These Related Problems?

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