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Finding the Fourth Proportional to 306,847.40, 460,746.30 and 166,879.40

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Solution

The fourth proportional to 306,847.40, 460,746.30 and 166,879.40 is: 250,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,847.40 : 460,746.30 = 166,879.40 : x
  2. Step 2: Convert to fraction form
    306,847.40/460,746.30 = 166,879.40/x
  3. Step 3: Cross multiply
    306,847.40x = 460,746.30 × 166,879.40
  4. Step 4: Simplify right side
    306,847.40x = 76,889,066,096.22
  5. Step 5: Solve for x
    x = 76,889,066,096.22/306,847.40
  6. Step 6: Final answer
    x = 250,577.54

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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.