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Finding the Fourth Proportional to 370,941.24, 511,900.38 and 201,178.20

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Solution

The fourth proportional to 370,941.24, 511,900.38 and 201,178.20 is: 277,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,941.24 : 511,900.38 = 201,178.20 : x
  2. Step 2: Convert to fraction form
    370,941.24/511,900.38 = 201,178.20/x
  3. Step 3: Cross multiply
    370,941.24x = 511,900.38 × 201,178.20
  4. Step 4: Simplify right side
    370,941.24x = 102,983,197,027.72
  5. Step 5: Solve for x
    x = 102,983,197,027.72/370,941.24
  6. Step 6: Final answer
    x = 277,626.71

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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.