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Finding the Fourth Proportional to 328,452.67, 493,194.57 and 195,923.98

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Solution

The fourth proportional to 328,452.67, 493,194.57 and 195,923.98 is: 294,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,452.67 : 493,194.57 = 195,923.98 : x
  2. Step 2: Convert to fraction form
    328,452.67/493,194.57 = 195,923.98/x
  3. Step 3: Cross multiply
    328,452.67x = 493,194.57 × 195,923.98
  4. Step 4: Simplify right side
    328,452.67x = 96,628,643,068.79
  5. Step 5: Solve for x
    x = 96,628,643,068.79/328,452.67
  6. Step 6: Final answer
    x = 294,193.51

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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.