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Finding the Fourth Proportional to 662,905.92, 994,215.60 and 189,464.16

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Solution

The fourth proportional to 662,905.92, 994,215.60 and 189,464.16 is: 284,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,905.92 : 994,215.60 = 189,464.16 : x
  2. Step 2: Convert to fraction form
    662,905.92/994,215.60 = 189,464.16/x
  3. Step 3: Cross multiply
    662,905.92x = 994,215.60 × 189,464.16
  4. Step 4: Simplify right side
    662,905.92x = 188,368,223,512.90
  5. Step 5: Solve for x
    x = 188,368,223,512.90/662,905.92
  6. Step 6: Final answer
    x = 284,155.29

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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.