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Finding the Fourth Proportional to 324,509.90, 486,753.92 and 146,892.70

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Solution

The fourth proportional to 324,509.90, 486,753.92 and 146,892.70 is: 220,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,509.90 : 486,753.92 = 146,892.70 : x
  2. Step 2: Convert to fraction form
    324,509.90/486,753.92 = 146,892.70/x
  3. Step 3: Cross multiply
    324,509.90x = 486,753.92 × 146,892.70
  4. Step 4: Simplify right side
    324,509.90x = 71,500,594,376.15
  5. Step 5: Solve for x
    x = 71,500,594,376.15/324,509.90
  6. Step 6: Final answer
    x = 220,334.09

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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.