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Finding the Fourth Proportional to 370,701.56, 511,568.37 and 200,935.68

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Solution

The fourth proportional to 370,701.56, 511,568.37 and 200,935.68 is: 277,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,701.56 : 511,568.37 = 200,935.68 : x
  2. Step 2: Convert to fraction form
    370,701.56/511,568.37 = 200,935.68/x
  3. Step 3: Cross multiply
    370,701.56x = 511,568.37 × 200,935.68
  4. Step 4: Simplify right side
    370,701.56x = 102,792,338,292.44
  5. Step 5: Solve for x
    x = 102,792,338,292.44/370,701.56
  6. Step 6: Final answer
    x = 277,291.36

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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.