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Finding the Fourth Proportional to 310,568.46, 465,951.09 and 110,884.41

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Solution

The fourth proportional to 310,568.46, 465,951.09 and 110,884.41 is: 166,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,568.46 : 465,951.09 = 110,884.41 : x
  2. Step 2: Convert to fraction form
    310,568.46/465,951.09 = 110,884.41/x
  3. Step 3: Cross multiply
    310,568.46x = 465,951.09 × 110,884.41
  4. Step 4: Simplify right side
    310,568.46x = 51,666,711,703.51
  5. Step 5: Solve for x
    x = 51,666,711,703.51/310,568.46
  6. Step 6: Final answer
    x = 166,361.75

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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.