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Finding the Fourth Proportional to 441,101.20, 661,214.40 and 204,030.40

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Solution

The fourth proportional to 441,101.20, 661,214.40 and 204,030.40 is: 305,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,101.20 : 661,214.40 = 204,030.40 : x
  2. Step 2: Convert to fraction form
    441,101.20/661,214.40 = 204,030.40/x
  3. Step 3: Cross multiply
    441,101.20x = 661,214.40 × 204,030.40
  4. Step 4: Simplify right side
    441,101.20x = 134,907,838,517.76
  5. Step 5: Solve for x
    x = 134,907,838,517.76/441,101.20
  6. Step 6: Final answer
    x = 305,843.28

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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.