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Finding the Fourth Proportional to 298,898.94, 448,418.51 and 118,995.38

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Solution

The fourth proportional to 298,898.94, 448,418.51 and 118,995.38 is: 178,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,898.94 : 448,418.51 = 118,995.38 : x
  2. Step 2: Convert to fraction form
    298,898.94/448,418.51 = 118,995.38/x
  3. Step 3: Cross multiply
    298,898.94x = 448,418.51 × 118,995.38
  4. Step 4: Simplify right side
    298,898.94x = 53,359,728,159.41
  5. Step 5: Solve for x
    x = 53,359,728,159.41/298,898.94
  6. Step 6: Final answer
    x = 178,520.97

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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.