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Finding the Fourth Proportional to 310,359.97, 465,576.40 and 110,708.74

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Solution

The fourth proportional to 310,359.97, 465,576.40 and 110,708.74 is: 166,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,359.97 : 465,576.40 = 110,708.74 : x
  2. Step 2: Convert to fraction form
    310,359.97/465,576.40 = 110,708.74/x
  3. Step 3: Cross multiply
    310,359.97x = 465,576.40 × 110,708.74
  4. Step 4: Simplify right side
    310,359.97x = 51,543,374,289.85
  5. Step 5: Solve for x
    x = 51,543,374,289.85/310,359.97
  6. Step 6: Final answer
    x = 166,076.11

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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.