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Finding the Fourth Proportional to 298,041.75, 447,063.71 and 283,092.39

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Solution

The fourth proportional to 298,041.75, 447,063.71 and 283,092.39 is: 424,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,041.75 : 447,063.71 = 283,092.39 : x
  2. Step 2: Convert to fraction form
    298,041.75/447,063.71 = 283,092.39/x
  3. Step 3: Cross multiply
    298,041.75x = 447,063.71 × 283,092.39
  4. Step 4: Simplify right side
    298,041.75x = 126,560,332,730.71
  5. Step 5: Solve for x
    x = 126,560,332,730.71/298,041.75
  6. Step 6: Final answer
    x = 424,639.61

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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.