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Finding the Fourth Proportional to 499,285.38, 688,976.57 and 284,383.47

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Solution

The fourth proportional to 499,285.38, 688,976.57 and 284,383.47 is: 392,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,285.38 : 688,976.57 = 284,383.47 : x
  2. Step 2: Convert to fraction form
    499,285.38/688,976.57 = 284,383.47/x
  3. Step 3: Cross multiply
    499,285.38x = 688,976.57 × 284,383.47
  4. Step 4: Simplify right side
    499,285.38x = 195,933,546,303.38
  5. Step 5: Solve for x
    x = 195,933,546,303.38/499,285.38
  6. Step 6: Final answer
    x = 392,427.97

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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.