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Finding the Fourth Proportional to 325,838.70, 489,195.45 and 208,032.30

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Solution

The fourth proportional to 325,838.70, 489,195.45 and 208,032.30 is: 312,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,838.70 : 489,195.45 = 208,032.30 : x
  2. Step 2: Convert to fraction form
    325,838.70/489,195.45 = 208,032.30/x
  3. Step 3: Cross multiply
    325,838.70x = 489,195.45 × 208,032.30
  4. Step 4: Simplify right side
    325,838.70x = 101,768,454,613.04
  5. Step 5: Solve for x
    x = 101,768,454,613.04/325,838.70
  6. Step 6: Final answer
    x = 312,327.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.