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Finding the Fourth Proportional to 442,676.40, 664,360.20 and 206,048.40

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Solution

The fourth proportional to 442,676.40, 664,360.20 and 206,048.40 is: 309,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,676.40 : 664,360.20 = 206,048.40 : x
  2. Step 2: Convert to fraction form
    442,676.40/664,360.20 = 206,048.40/x
  3. Step 3: Cross multiply
    442,676.40x = 664,360.20 × 206,048.40
  4. Step 4: Simplify right side
    442,676.40x = 136,890,356,233.68
  5. Step 5: Solve for x
    x = 136,890,356,233.68/442,676.40
  6. Step 6: Final answer
    x = 309,233.46

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1.5x scale

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.