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Finding the Fourth Proportional to 441,382, 609,107.16 and 240,179.44

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Solution

The fourth proportional to 441,382, 609,107.16 and 240,179.44 is: 331,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,382 : 609,107.16 = 240,179.44 : x
  2. Step 2: Convert to fraction form
    441,382/609,107.16 = 240,179.44/x
  3. Step 3: Cross multiply
    441,382x = 609,107.16 × 240,179.44
  4. Step 4: Simplify right side
    441,382x = 146,295,016,588.79
  5. Step 5: Solve for x
    x = 146,295,016,588.79/441,382
  6. Step 6: Final answer
    x = 331,447.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.