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Finding the Fourth Proportional to 370,570.80, 511,388.19 and 200,804.79

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Solution

The fourth proportional to 370,570.80, 511,388.19 and 200,804.79 is: 277,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,570.80 : 511,388.19 = 200,804.79 : x
  2. Step 2: Convert to fraction form
    370,570.80/511,388.19 = 200,804.79/x
  3. Step 3: Cross multiply
    370,570.80x = 511,388.19 × 200,804.79
  4. Step 4: Simplify right side
    370,570.80x = 102,689,198,101.43
  5. Step 5: Solve for x
    x = 102,689,198,101.43/370,570.80
  6. Step 6: Final answer
    x = 277,110.87

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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.