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Finding the Fourth Proportional to 275,735.70, 413,554.35 and 73,332.96

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Solution

The fourth proportional to 275,735.70, 413,554.35 and 73,332.96 is: 109,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,735.70 : 413,554.35 = 73,332.96 : x
  2. Step 2: Convert to fraction form
    275,735.70/413,554.35 = 73,332.96/x
  3. Step 3: Cross multiply
    275,735.70x = 413,554.35 × 73,332.96
  4. Step 4: Simplify right side
    275,735.70x = 30,327,164,606.38
  5. Step 5: Solve for x
    x = 30,327,164,606.38/275,735.70
  6. Step 6: Final answer
    x = 109,986.36

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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.