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Finding the Fourth Proportional to 326,233.32, 489,103.77 and 213,941.81

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Solution

The fourth proportional to 326,233.32, 489,103.77 and 213,941.81 is: 320,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,233.32 : 489,103.77 = 213,941.81 : x
  2. Step 2: Convert to fraction form
    326,233.32/489,103.77 = 213,941.81/x
  3. Step 3: Cross multiply
    326,233.32x = 489,103.77 × 213,941.81
  4. Step 4: Simplify right side
    326,233.32x = 104,639,743,902.03
  5. Step 5: Solve for x
    x = 104,639,743,902.03/326,233.32
  6. Step 6: Final answer
    x = 320,751.24

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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.