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Finding the Fourth Proportional to 298,800.43, 448,288.23 and 96,392.47

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Solution

The fourth proportional to 298,800.43, 448,288.23 and 96,392.47 is: 144,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,800.43 : 448,288.23 = 96,392.47 : x
  2. Step 2: Convert to fraction form
    298,800.43/448,288.23 = 96,392.47/x
  3. Step 3: Cross multiply
    298,800.43x = 448,288.23 × 96,392.47
  4. Step 4: Simplify right side
    298,800.43x = 43,211,609,761.63
  5. Step 5: Solve for x
    x = 43,211,609,761.63/298,800.43
  6. Step 6: Final answer
    x = 144,616.96

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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.