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Finding the Fourth Proportional to 380,189.62, 524,626.13 and 227,197.45

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Solution

The fourth proportional to 380,189.62, 524,626.13 and 227,197.45 is: 313,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,189.62 : 524,626.13 = 227,197.45 : x
  2. Step 2: Convert to fraction form
    380,189.62/524,626.13 = 227,197.45/x
  3. Step 3: Cross multiply
    380,189.62x = 524,626.13 × 227,197.45
  4. Step 4: Simplify right side
    380,189.62x = 119,193,717,803.38
  5. Step 5: Solve for x
    x = 119,193,717,803.38/380,189.62
  6. Step 6: Final answer
    x = 313,511.24

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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.