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Finding the Fourth Proportional to 283,525.80, 424,632.60 and 194,296.20

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Solution

The fourth proportional to 283,525.80, 424,632.60 and 194,296.20 is: 290,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,525.80 : 424,632.60 = 194,296.20 : x
  2. Step 2: Convert to fraction form
    283,525.80/424,632.60 = 194,296.20/x
  3. Step 3: Cross multiply
    283,525.80x = 424,632.60 × 194,296.20
  4. Step 4: Simplify right side
    283,525.80x = 82,504,500,576.12
  5. Step 5: Solve for x
    x = 82,504,500,576.12/283,525.80
  6. Step 6: Final answer
    x = 290,994.68

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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.