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Finding the Fourth Proportional to 307,052.32, 460,716.72 and 166,600.48

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Solution

The fourth proportional to 307,052.32, 460,716.72 and 166,600.48 is: 249,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,052.32 : 460,716.72 = 166,600.48 : x
  2. Step 2: Convert to fraction form
    307,052.32/460,716.72 = 166,600.48/x
  3. Step 3: Cross multiply
    307,052.32x = 460,716.72 × 166,600.48
  4. Step 4: Simplify right side
    307,052.32x = 76,755,626,696.03
  5. Step 5: Solve for x
    x = 76,755,626,696.03/307,052.32
  6. Step 6: Final answer
    x = 249,975.73

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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.