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Finding the Fourth Proportional to 384,096.24, 576,351.24 and 187,104.24

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Solution

The fourth proportional to 384,096.24, 576,351.24 and 187,104.24 is: 280,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,096.24 : 576,351.24 = 187,104.24 : x
  2. Step 2: Convert to fraction form
    384,096.24/576,351.24 = 187,104.24/x
  3. Step 3: Cross multiply
    384,096.24x = 576,351.24 × 187,104.24
  4. Step 4: Simplify right side
    384,096.24x = 107,837,760,733.26
  5. Step 5: Solve for x
    x = 107,837,760,733.26/384,096.24
  6. Step 6: Final answer
    x = 280,757.14

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1.5x scale

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.