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Finding the Fourth Proportional to 380,822.92, 525,412.17 and 225,786.49

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Solution

The fourth proportional to 380,822.92, 525,412.17 and 225,786.49 is: 311,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,822.92 : 525,412.17 = 225,786.49 : x
  2. Step 2: Convert to fraction form
    380,822.92/525,412.17 = 225,786.49/x
  3. Step 3: Cross multiply
    380,822.92x = 525,412.17 × 225,786.49
  4. Step 4: Simplify right side
    380,822.92x = 118,630,968,354.05
  5. Step 5: Solve for x
    x = 118,630,968,354.05/380,822.92
  6. Step 6: Final answer
    x = 311,512.16

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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.