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Finding the Fourth Proportional to 594,589.28, 892,020.09 and 257,686.43

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Solution

The fourth proportional to 594,589.28, 892,020.09 and 257,686.43 is: 386,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,589.28 : 892,020.09 = 257,686.43 : x
  2. Step 2: Convert to fraction form
    594,589.28/892,020.09 = 257,686.43/x
  3. Step 3: Cross multiply
    594,589.28x = 892,020.09 × 257,686.43
  4. Step 4: Simplify right side
    594,589.28x = 229,861,472,480.38
  5. Step 5: Solve for x
    x = 229,861,472,480.38/594,589.28
  6. Step 6: Final answer
    x = 386,588.66

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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.