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Finding the Fourth Proportional to 380,842.68, 525,563.34 and 211,076.94

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Solution

The fourth proportional to 380,842.68, 525,563.34 and 211,076.94 is: 291,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,842.68 : 525,563.34 = 211,076.94 : x
  2. Step 2: Convert to fraction form
    380,842.68/525,563.34 = 211,076.94/x
  3. Step 3: Cross multiply
    380,842.68x = 525,563.34 × 211,076.94
  4. Step 4: Simplify right side
    380,842.68x = 110,934,301,583.38
  5. Step 5: Solve for x
    x = 110,934,301,583.38/380,842.68
  6. Step 6: Final answer
    x = 291,286.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.