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Finding the Fourth Proportional to 380,678.41, 525,336.21 and 227,723.05

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Solution

The fourth proportional to 380,678.41, 525,336.21 and 227,723.05 is: 314,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,678.41 : 525,336.21 = 227,723.05 : x
  2. Step 2: Convert to fraction form
    380,678.41/525,336.21 = 227,723.05/x
  3. Step 3: Cross multiply
    380,678.41x = 525,336.21 × 227,723.05
  4. Step 4: Simplify right side
    380,678.41x = 119,631,162,878.03
  5. Step 5: Solve for x
    x = 119,631,162,878.03/380,678.41
  6. Step 6: Final answer
    x = 314,257.81

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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.