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Finding the Fourth Proportional to 310,604.40, 465,906.60 and 110,931.30

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Solution

The fourth proportional to 310,604.40, 465,906.60 and 110,931.30 is: 166,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,604.40 : 465,906.60 = 110,931.30 : x
  2. Step 2: Convert to fraction form
    310,604.40/465,906.60 = 110,931.30/x
  3. Step 3: Cross multiply
    310,604.40x = 465,906.60 × 110,931.30
  4. Step 4: Simplify right side
    310,604.40x = 51,683,624,816.58
  5. Step 5: Solve for x
    x = 51,683,624,816.58/310,604.40
  6. Step 6: Final answer
    x = 166,396.95

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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.