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Finding the Fourth Proportional to 354,085.98, 488,632.44 and 192,942.33

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Solution

The fourth proportional to 354,085.98, 488,632.44 and 192,942.33 is: 266,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,085.98 : 488,632.44 = 192,942.33 : x
  2. Step 2: Convert to fraction form
    354,085.98/488,632.44 = 192,942.33/x
  3. Step 3: Cross multiply
    354,085.98x = 488,632.44 × 192,942.33
  4. Step 4: Simplify right side
    354,085.98x = 94,277,881,487.19
  5. Step 5: Solve for x
    x = 94,277,881,487.19/354,085.98
  6. Step 6: Final answer
    x = 266,257.03

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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.