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Finding the Fourth Proportional to 323,823.60, 485,620.20 and 146,415.60

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Solution

The fourth proportional to 323,823.60, 485,620.20 and 146,415.60 is: 219,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,823.60 : 485,620.20 = 146,415.60 : x
  2. Step 2: Convert to fraction form
    323,823.60/485,620.20 = 146,415.60/x
  3. Step 3: Cross multiply
    323,823.60x = 485,620.20 × 146,415.60
  4. Step 4: Simplify right side
    323,823.60x = 71,102,372,955.12
  5. Step 5: Solve for x
    x = 71,102,372,955.12/323,823.60
  6. Step 6: Final answer
    x = 219,571.31

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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.