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Finding the Fourth Proportional to 370,636.38, 511,479.09 and 200,870.46

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Solution

The fourth proportional to 370,636.38, 511,479.09 and 200,870.46 is: 277,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,636.38 : 511,479.09 = 200,870.46 : x
  2. Step 2: Convert to fraction form
    370,636.38/511,479.09 = 200,870.46/x
  3. Step 3: Cross multiply
    370,636.38x = 511,479.09 × 200,870.46
  4. Step 4: Simplify right side
    370,636.38x = 102,741,040,088.68
  5. Step 5: Solve for x
    x = 102,741,040,088.68/370,636.38
  6. Step 6: Final answer
    x = 277,201.71

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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.