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Finding the Fourth Proportional to 431,367.80, 647,051.70 and 263,406.20

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Solution

The fourth proportional to 431,367.80, 647,051.70 and 263,406.20 is: 395,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,367.80 : 647,051.70 = 263,406.20 : x
  2. Step 2: Convert to fraction form
    431,367.80/647,051.70 = 263,406.20/x
  3. Step 3: Cross multiply
    431,367.80x = 647,051.70 × 263,406.20
  4. Step 4: Simplify right side
    431,367.80x = 170,437,429,500.54
  5. Step 5: Solve for x
    x = 170,437,429,500.54/431,367.80
  6. Step 6: Final answer
    x = 395,109.30

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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.