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Finding the Fourth Proportional to 216,408.28, 326,089.56 and 177,829.60

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Solution

The fourth proportional to 216,408.28, 326,089.56 and 177,829.60 is: 267,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,408.28 : 326,089.56 = 177,829.60 : x
  2. Step 2: Convert to fraction form
    216,408.28/326,089.56 = 177,829.60/x
  3. Step 3: Cross multiply
    216,408.28x = 326,089.56 × 177,829.60
  4. Step 4: Simplify right side
    216,408.28x = 57,988,376,482.03
  5. Step 5: Solve for x
    x = 57,988,376,482.03/216,408.28
  6. Step 6: Final answer
    x = 267,958.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.