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Finding the Fourth Proportional to 347,708.82, 521,537.31 and 111,076.50

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Solution

The fourth proportional to 347,708.82, 521,537.31 and 111,076.50 is: 166,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,708.82 : 521,537.31 = 111,076.50 : x
  2. Step 2: Convert to fraction form
    347,708.82/521,537.31 = 111,076.50/x
  3. Step 3: Cross multiply
    347,708.82x = 521,537.31 × 111,076.50
  4. Step 4: Simplify right side
    347,708.82x = 57,930,539,014.22
  5. Step 5: Solve for x
    x = 57,930,539,014.22/347,708.82
  6. Step 6: Final answer
    x = 166,606.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.