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Finding the Fourth Proportional to 499,377.15, 689,092.92 and 284,511.69

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Solution

The fourth proportional to 499,377.15, 689,092.92 and 284,511.69 is: 392,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,377.15 : 689,092.92 = 284,511.69 : x
  2. Step 2: Convert to fraction form
    499,377.15/689,092.92 = 284,511.69/x
  3. Step 3: Cross multiply
    499,377.15x = 689,092.92 × 284,511.69
  4. Step 4: Simplify right side
    499,377.15x = 196,054,991,236.24
  5. Step 5: Solve for x
    x = 196,054,991,236.24/499,377.15
  6. Step 6: Final answer
    x = 392,599.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.