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Finding the Fourth Proportional to 338,894.60, 467,291.06 and 216,222.80

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Solution

The fourth proportional to 338,894.60, 467,291.06 and 216,222.80 is: 298,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,894.60 : 467,291.06 = 216,222.80 : x
  2. Step 2: Convert to fraction form
    338,894.60/467,291.06 = 216,222.80/x
  3. Step 3: Cross multiply
    338,894.60x = 467,291.06 × 216,222.80
  4. Step 4: Simplify right side
    338,894.60x = 101,038,981,408.17
  5. Step 5: Solve for x
    x = 101,038,981,408.17/338,894.60
  6. Step 6: Final answer
    x = 298,142.79

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