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Finding the Fourth Proportional to 356,084, 533,710.96 and 198,236.96

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Solution

The fourth proportional to 356,084, 533,710.96 and 198,236.96 is: 297,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,084 : 533,710.96 = 198,236.96 : x
  2. Step 2: Convert to fraction form
    356,084/533,710.96 = 198,236.96/x
  3. Step 3: Cross multiply
    356,084x = 533,710.96 × 198,236.96
  4. Step 4: Simplify right side
    356,084x = 105,801,238,229.08
  5. Step 5: Solve for x
    x = 105,801,238,229.08/356,084
  6. Step 6: Final answer
    x = 297,124.38

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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.