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Finding the Fourth Proportional to 370,632.54, 511,459.20 and 200,863.02

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Solution

The fourth proportional to 370,632.54, 511,459.20 and 200,863.02 is: 277,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,632.54 : 511,459.20 = 200,863.02 : x
  2. Step 2: Convert to fraction form
    370,632.54/511,459.20 = 200,863.02/x
  3. Step 3: Cross multiply
    370,632.54x = 511,459.20 × 200,863.02
  4. Step 4: Simplify right side
    370,632.54x = 102,733,239,518.78
  5. Step 5: Solve for x
    x = 102,733,239,518.78/370,632.54
  6. Step 6: Final answer
    x = 277,183.54

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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.