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Finding the Fourth Proportional to 431,364.20, 647,046.30 and 221,412.20

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Solution

The fourth proportional to 431,364.20, 647,046.30 and 221,412.20 is: 332,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,364.20 : 647,046.30 = 221,412.20 : x
  2. Step 2: Convert to fraction form
    431,364.20/647,046.30 = 221,412.20/x
  3. Step 3: Cross multiply
    431,364.20x = 647,046.30 × 221,412.20
  4. Step 4: Simplify right side
    431,364.20x = 143,263,944,784.86
  5. Step 5: Solve for x
    x = 143,263,944,784.86/431,364.20
  6. Step 6: Final answer
    x = 332,118.30

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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.