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Finding the Fourth Proportional to 369,996.37, 510,596.60 and 200,230.51

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Solution

The fourth proportional to 369,996.37, 510,596.60 and 200,230.51 is: 276,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,996.37 : 510,596.60 = 200,230.51 : x
  2. Step 2: Convert to fraction form
    369,996.37/510,596.60 = 200,230.51/x
  3. Step 3: Cross multiply
    369,996.37x = 510,596.60 × 200,230.51
  4. Step 4: Simplify right side
    369,996.37x = 102,237,016,621.11
  5. Step 5: Solve for x
    x = 102,237,016,621.11/369,996.37
  6. Step 6: Final answer
    x = 276,318.97

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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.