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Finding the Fourth Proportional to 441,842.40, 663,109.20 and 205,214.40

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Solution

The fourth proportional to 441,842.40, 663,109.20 and 205,214.40 is: 307,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,842.40 : 663,109.20 = 205,214.40 : x
  2. Step 2: Convert to fraction form
    441,842.40/663,109.20 = 205,214.40/x
  3. Step 3: Cross multiply
    441,842.40x = 663,109.20 × 205,214.40
  4. Step 4: Simplify right side
    441,842.40x = 136,079,556,612.48
  5. Step 5: Solve for x
    x = 136,079,556,612.48/441,842.40
  6. Step 6: Final answer
    x = 307,982.11

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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.