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Finding the Fourth Proportional to 305,102.70, 458,638.20 and 216,966.60

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Solution

The fourth proportional to 305,102.70, 458,638.20 and 216,966.60 is: 326,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,102.70 : 458,638.20 = 216,966.60 : x
  2. Step 2: Convert to fraction form
    305,102.70/458,638.20 = 216,966.60/x
  3. Step 3: Cross multiply
    305,102.70x = 458,638.20 × 216,966.60
  4. Step 4: Simplify right side
    305,102.70x = 99,509,170,884.12
  5. Step 5: Solve for x
    x = 99,509,170,884.12/305,102.70
  6. Step 6: Final answer
    x = 326,149.76

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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.