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Finding the Fourth Proportional to 283,556.71, 424,634.76 and 211,336.47

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Solution

The fourth proportional to 283,556.71, 424,634.76 and 211,336.47 is: 316,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,556.71 : 424,634.76 = 211,336.47 : x
  2. Step 2: Convert to fraction form
    283,556.71/424,634.76 = 211,336.47/x
  3. Step 3: Cross multiply
    283,556.71x = 424,634.76 × 211,336.47
  4. Step 4: Simplify right side
    283,556.71x = 89,740,811,217.70
  5. Step 5: Solve for x
    x = 89,740,811,217.70/283,556.71
  6. Step 6: Final answer
    x = 316,482.76

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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.