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Finding the Fourth Proportional to 370,609.80, 511,441.97 and 200,843.93

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Solution

The fourth proportional to 370,609.80, 511,441.97 and 200,843.93 is: 277,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,609.80 : 511,441.97 = 200,843.93 : x
  2. Step 2: Convert to fraction form
    370,609.80/511,441.97 = 200,843.93/x
  3. Step 3: Cross multiply
    370,609.80x = 511,441.97 × 200,843.93
  4. Step 4: Simplify right side
    370,609.80x = 102,720,011,660.31
  5. Step 5: Solve for x
    x = 102,720,011,660.31/370,609.80
  6. Step 6: Final answer
    x = 277,164.86

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1.5x scale

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.