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Finding the Fourth Proportional to 499,022.98, 688,650.93 and 284,163.12

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Solution

The fourth proportional to 499,022.98, 688,650.93 and 284,163.12 is: 392,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,022.98 : 688,650.93 = 284,163.12 : x
  2. Step 2: Convert to fraction form
    499,022.98/688,650.93 = 284,163.12/x
  3. Step 3: Cross multiply
    499,022.98x = 688,650.93 × 284,163.12
  4. Step 4: Simplify right side
    499,022.98x = 195,689,196,859.70
  5. Step 5: Solve for x
    x = 195,689,196,859.70/499,022.98
  6. Step 6: Final answer
    x = 392,144.66

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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.