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Finding the Fourth Proportional to 378,404.16, 522,288.72 and 227,472

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Solution

The fourth proportional to 378,404.16, 522,288.72 and 227,472 is: 313,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,404.16 : 522,288.72 = 227,472 : x
  2. Step 2: Convert to fraction form
    378,404.16/522,288.72 = 227,472/x
  3. Step 3: Cross multiply
    378,404.16x = 522,288.72 × 227,472
  4. Step 4: Simplify right side
    378,404.16x = 118,806,059,715.84
  5. Step 5: Solve for x
    x = 118,806,059,715.84/378,404.16
  6. Step 6: Final answer
    x = 313,966.05

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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.