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Finding the Fourth Proportional to 354,540.24, 489,268.65 and 193,396.01

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Solution

The fourth proportional to 354,540.24, 489,268.65 and 193,396.01 is: 266,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,540.24 : 489,268.65 = 193,396.01 : x
  2. Step 2: Convert to fraction form
    354,540.24/489,268.65 = 193,396.01/x
  3. Step 3: Cross multiply
    354,540.24x = 489,268.65 × 193,396.01
  4. Step 4: Simplify right side
    354,540.24x = 94,622,603,006.98
  5. Step 5: Solve for x
    x = 94,622,603,006.98/354,540.24
  6. Step 6: Final answer
    x = 266,888.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.