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Finding the Fourth Proportional to 253,863.48, 380,048.01 and 187,599.24

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Solution

The fourth proportional to 253,863.48, 380,048.01 and 187,599.24 is: 280,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,863.48 : 380,048.01 = 187,599.24 : x
  2. Step 2: Convert to fraction form
    253,863.48/380,048.01 = 187,599.24/x
  3. Step 3: Cross multiply
    253,863.48x = 380,048.01 × 187,599.24
  4. Step 4: Simplify right side
    253,863.48x = 71,296,717,839.51
  5. Step 5: Solve for x
    x = 71,296,717,839.51/253,863.48
  6. Step 6: Final answer
    x = 280,846.69

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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.