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Finding the Fourth Proportional to 333,811, 500,795.25 and 109,170.55

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Solution

The fourth proportional to 333,811, 500,795.25 and 109,170.55 is: 163,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,811 : 500,795.25 = 109,170.55 : x
  2. Step 2: Convert to fraction form
    333,811/500,795.25 = 109,170.55/x
  3. Step 3: Cross multiply
    333,811x = 500,795.25 × 109,170.55
  4. Step 4: Simplify right side
    333,811x = 54,672,092,879.89
  5. Step 5: Solve for x
    x = 54,672,092,879.89/333,811
  6. Step 6: Final answer
    x = 163,781.58

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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.