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Finding the Fourth Proportional to 380,257.14, 524,718.42 and 227,264.87

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Solution

The fourth proportional to 380,257.14, 524,718.42 and 227,264.87 is: 313,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,257.14 : 524,718.42 = 227,264.87 : x
  2. Step 2: Convert to fraction form
    380,257.14/524,718.42 = 227,264.87/x
  3. Step 3: Cross multiply
    380,257.14x = 524,718.42 × 227,264.87
  4. Step 4: Simplify right side
    380,257.14x = 119,250,060,884.31
  5. Step 5: Solve for x
    x = 119,250,060,884.31/380,257.14
  6. Step 6: Final answer
    x = 313,603.74

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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.