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Finding the Fourth Proportional to 277,523.27, 416,430.80 and 196,990.01

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Solution

The fourth proportional to 277,523.27, 416,430.80 and 196,990.01 is: 295,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,523.27 : 416,430.80 = 196,990.01 : x
  2. Step 2: Convert to fraction form
    277,523.27/416,430.80 = 196,990.01/x
  3. Step 3: Cross multiply
    277,523.27x = 416,430.80 × 196,990.01
  4. Step 4: Simplify right side
    277,523.27x = 82,032,706,948.90
  5. Step 5: Solve for x
    x = 82,032,706,948.90/277,523.27
  6. Step 6: Final answer
    x = 295,588.57

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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.