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Finding the Fourth Proportional to 361,644.63, 499,068.77 and 200,495.54

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Solution

The fourth proportional to 361,644.63, 499,068.77 and 200,495.54 is: 276,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,644.63 : 499,068.77 = 200,495.54 : x
  2. Step 2: Convert to fraction form
    361,644.63/499,068.77 = 200,495.54/x
  3. Step 3: Cross multiply
    361,644.63x = 499,068.77 × 200,495.54
  4. Step 4: Simplify right side
    361,644.63x = 100,061,059,040.46
  5. Step 5: Solve for x
    x = 100,061,059,040.46/361,644.63
  6. Step 6: Final answer
    x = 276,683.38

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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.