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Finding the Fourth Proportional to 441,776.40, 663,010.20 and 205,148.40

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Solution

The fourth proportional to 441,776.40, 663,010.20 and 205,148.40 is: 307,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,776.40 : 663,010.20 = 205,148.40 : x
  2. Step 2: Convert to fraction form
    441,776.40/663,010.20 = 205,148.40/x
  3. Step 3: Cross multiply
    441,776.40x = 663,010.20 × 205,148.40
  4. Step 4: Simplify right side
    441,776.40x = 136,015,481,713.68
  5. Step 5: Solve for x
    x = 136,015,481,713.68/441,776.40
  6. Step 6: Final answer
    x = 307,883.09

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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.