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Finding the Fourth Proportional to 457,096.68, 685,836.40 and 200,797.06

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Solution

The fourth proportional to 457,096.68, 685,836.40 and 200,797.06 is: 301,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,096.68 : 685,836.40 = 200,797.06 : x
  2. Step 2: Convert to fraction form
    457,096.68/685,836.40 = 200,797.06/x
  3. Step 3: Cross multiply
    457,096.68x = 685,836.40 × 200,797.06
  4. Step 4: Simplify right side
    457,096.68x = 137,713,932,760.98
  5. Step 5: Solve for x
    x = 137,713,932,760.98/457,096.68
  6. Step 6: Final answer
    x = 301,279.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.