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Finding the Fourth Proportional to 283,216.80, 424,825.20 and 269,438.70

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Solution

The fourth proportional to 283,216.80, 424,825.20 and 269,438.70 is: 404,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216.80 : 424,825.20 = 269,438.70 : x
  2. Step 2: Convert to fraction form
    283,216.80/424,825.20 = 269,438.70/x
  3. Step 3: Cross multiply
    283,216.80x = 424,825.20 × 269,438.70
  4. Step 4: Simplify right side
    283,216.80x = 114,464,349,615.24
  5. Step 5: Solve for x
    x = 114,464,349,615.24/283,216.80
  6. Step 6: Final answer
    x = 404,158.05

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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.