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Finding the Fourth Proportional to 311,132, 466,698 and 89,516

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Solution

The fourth proportional to 311,132, 466,698 and 89,516 is: 134,274

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,132 : 466,698 = 89,516 : x
  2. Step 2: Convert to fraction form
    311,132/466,698 = 89,516/x
  3. Step 3: Cross multiply
    311,132x = 466,698 × 89,516
  4. Step 4: Simplify right side
    311,132x = 41,776,938,168
  5. Step 5: Solve for x
    x = 41,776,938,168/311,132
  6. Step 6: Final answer
    x = 134,274

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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.