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Finding the Fourth Proportional to 283,568.24, 424,651.96 and 211,348

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Solution

The fourth proportional to 283,568.24, 424,651.96 and 211,348 is: 316,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,568.24 : 424,651.96 = 211,348 : x
  2. Step 2: Convert to fraction form
    283,568.24/424,651.96 = 211,348/x
  3. Step 3: Cross multiply
    283,568.24x = 424,651.96 × 211,348
  4. Step 4: Simplify right side
    283,568.24x = 89,749,342,442.08
  5. Step 5: Solve for x
    x = 89,749,342,442.08/283,568.24
  6. Step 6: Final answer
    x = 316,499.98

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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.