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Finding the Fourth Proportional to 441,352.20, 661,509.86 and 204,193.96

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Solution

The fourth proportional to 441,352.20, 661,509.86 and 204,193.96 is: 306,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,352.20 : 661,509.86 = 204,193.96 : x
  2. Step 2: Convert to fraction form
    441,352.20/661,509.86 = 204,193.96/x
  3. Step 3: Cross multiply
    441,352.20x = 661,509.86 × 204,193.96
  4. Step 4: Simplify right side
    441,352.20x = 135,076,317,892.45
  5. Step 5: Solve for x
    x = 135,076,317,892.45/441,352.20
  6. Step 6: Final answer
    x = 306,051.08

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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.