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Finding the Fourth Proportional to 465,971.62, 699,104.14 and 166,445.57

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Solution

The fourth proportional to 465,971.62, 699,104.14 and 166,445.57 is: 249,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,971.62 : 699,104.14 = 166,445.57 : x
  2. Step 2: Convert to fraction form
    465,971.62/699,104.14 = 166,445.57/x
  3. Step 3: Cross multiply
    465,971.62x = 699,104.14 × 166,445.57
  4. Step 4: Simplify right side
    465,971.62x = 116,362,787,071.66
  5. Step 5: Solve for x
    x = 116,362,787,071.66/465,971.62
  6. Step 6: Final answer
    x = 249,720.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.