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Finding the Fourth Proportional to 380,725.57, 525,262.27 and 227,768.15

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Solution

The fourth proportional to 380,725.57, 525,262.27 and 227,768.15 is: 314,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,725.57 : 525,262.27 = 227,768.15 : x
  2. Step 2: Convert to fraction form
    380,725.57/525,262.27 = 227,768.15/x
  3. Step 3: Cross multiply
    380,725.57x = 525,262.27 × 227,768.15
  4. Step 4: Simplify right side
    380,725.57x = 119,638,016,673.50
  5. Step 5: Solve for x
    x = 119,638,016,673.50/380,725.57
  6. Step 6: Final answer
    x = 314,236.89

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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.