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Finding the Fourth Proportional to 356,082, 533,707.96 and 198,234.96

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Solution

The fourth proportional to 356,082, 533,707.96 and 198,234.96 is: 297,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,082 : 533,707.96 = 198,234.96 : x
  2. Step 2: Convert to fraction form
    356,082/533,707.96 = 198,234.96/x
  3. Step 3: Cross multiply
    356,082x = 533,707.96 × 198,234.96
  4. Step 4: Simplify right side
    356,082x = 105,799,576,102.28
  5. Step 5: Solve for x
    x = 105,799,576,102.28/356,082
  6. Step 6: Final answer
    x = 297,121.38

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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.