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Finding the Fourth Proportional to 283,423.52, 391,287.12 and 188,059.52

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Solution

The fourth proportional to 283,423.52, 391,287.12 and 188,059.52 is: 259,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,423.52 : 391,287.12 = 188,059.52 : x
  2. Step 2: Convert to fraction form
    283,423.52/391,287.12 = 188,059.52/x
  3. Step 3: Cross multiply
    283,423.52x = 391,287.12 × 188,059.52
  4. Step 4: Simplify right side
    283,423.52x = 73,585,267,969.38
  5. Step 5: Solve for x
    x = 73,585,267,969.38/283,423.52
  6. Step 6: Final answer
    x = 259,630.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.