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Finding the Fourth Proportional to 378,412.16, 522,299.76 and 227,480

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Solution

The fourth proportional to 378,412.16, 522,299.76 and 227,480 is: 313,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,412.16 : 522,299.76 = 227,480 : x
  2. Step 2: Convert to fraction form
    378,412.16/522,299.76 = 227,480/x
  3. Step 3: Cross multiply
    378,412.16x = 522,299.76 × 227,480
  4. Step 4: Simplify right side
    378,412.16x = 118,812,749,404.80
  5. Step 5: Solve for x
    x = 118,812,749,404.80/378,412.16
  6. Step 6: Final answer
    x = 313,977.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.