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Finding the Fourth Proportional to 662,689.90, 994,069.41 and 189,446.86

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Solution

The fourth proportional to 662,689.90, 994,069.41 and 189,446.86 is: 284,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,689.90 : 994,069.41 = 189,446.86 : x
  2. Step 2: Convert to fraction form
    662,689.90/994,069.41 = 189,446.86/x
  3. Step 3: Cross multiply
    662,689.90x = 994,069.41 × 189,446.86
  4. Step 4: Simplify right side
    662,689.90x = 188,323,328,346.55
  5. Step 5: Solve for x
    x = 188,323,328,346.55/662,689.90
  6. Step 6: Final answer
    x = 284,180.17

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Why These Related Problems?

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