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Finding the Fourth Proportional to 370,561.46, 511,376.58 and 200,795.90

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Solution

The fourth proportional to 370,561.46, 511,376.58 and 200,795.90 is: 277,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,561.46 : 511,376.58 = 200,795.90 : x
  2. Step 2: Convert to fraction form
    370,561.46/511,376.58 = 200,795.90/x
  3. Step 3: Cross multiply
    370,561.46x = 511,376.58 × 200,795.90
  4. Step 4: Simplify right side
    370,561.46x = 102,682,320,620.02
  5. Step 5: Solve for x
    x = 102,682,320,620.02/370,561.46
  6. Step 6: Final answer
    x = 277,099.30

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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.