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Finding the Fourth Proportional to 310,318.34, 465,513.97 and 110,667.11

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Solution

The fourth proportional to 310,318.34, 465,513.97 and 110,667.11 is: 166,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,318.34 : 465,513.97 = 110,667.11 : x
  2. Step 2: Convert to fraction form
    310,318.34/465,513.97 = 110,667.11/x
  3. Step 3: Cross multiply
    310,318.34x = 465,513.97 × 110,667.11
  4. Step 4: Simplify right side
    310,318.34x = 51,517,085,171.19
  5. Step 5: Solve for x
    x = 51,517,085,171.19/310,318.34
  6. Step 6: Final answer
    x = 166,013.67

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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.