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Finding the Fourth Proportional to 380,187.94, 524,623.74 and 227,195.67

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Solution

The fourth proportional to 380,187.94, 524,623.74 and 227,195.67 is: 313,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,187.94 : 524,623.74 = 227,195.67 : x
  2. Step 2: Convert to fraction form
    380,187.94/524,623.74 = 227,195.67/x
  3. Step 3: Cross multiply
    380,187.94x = 524,623.74 × 227,195.67
  4. Step 4: Simplify right side
    380,187.94x = 119,192,242,107.21
  5. Step 5: Solve for x
    x = 119,192,242,107.21/380,187.94
  6. Step 6: Final answer
    x = 313,508.74

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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.