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Finding the Fourth Proportional to 380,274.86, 524,786.38 and 219,102.68

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Solution

The fourth proportional to 380,274.86, 524,786.38 and 219,102.68 is: 302,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,274.86 : 524,786.38 = 219,102.68 : x
  2. Step 2: Convert to fraction form
    380,274.86/524,786.38 = 219,102.68/x
  3. Step 3: Cross multiply
    380,274.86x = 524,786.38 × 219,102.68
  4. Step 4: Simplify right side
    380,274.86x = 114,982,102,285.50
  5. Step 5: Solve for x
    x = 114,982,102,285.50/380,274.86
  6. Step 6: Final answer
    x = 302,365.77

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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.