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Finding the Fourth Proportional to 370,709.91, 511,580.34 and 200,944.44

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Solution

The fourth proportional to 370,709.91, 511,580.34 and 200,944.44 is: 277,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,709.91 : 511,580.34 = 200,944.44 : x
  2. Step 2: Convert to fraction form
    370,709.91/511,580.34 = 200,944.44/x
  3. Step 3: Cross multiply
    370,709.91x = 511,580.34 × 200,944.44
  4. Step 4: Simplify right side
    370,709.91x = 102,799,224,936.31
  5. Step 5: Solve for x
    x = 102,799,224,936.31/370,709.91
  6. Step 6: Final answer
    x = 277,303.69

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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.