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Finding the Fourth Proportional to 306,825.44, 460,035.12 and 146,924.96

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Solution

The fourth proportional to 306,825.44, 460,035.12 and 146,924.96 is: 220,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,825.44 : 460,035.12 = 146,924.96 : x
  2. Step 2: Convert to fraction form
    306,825.44/460,035.12 = 146,924.96/x
  3. Step 3: Cross multiply
    306,825.44x = 460,035.12 × 146,924.96
  4. Step 4: Simplify right side
    306,825.44x = 67,590,641,604.60
  5. Step 5: Solve for x
    x = 67,590,641,604.60/306,825.44
  6. Step 6: Final answer
    x = 220,290.21

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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.