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Finding the Fourth Proportional to 298,897.43, 448,416.25 and 118,993.87

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Solution

The fourth proportional to 298,897.43, 448,416.25 and 118,993.87 is: 178,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,897.43 : 448,416.25 = 118,993.87 : x
  2. Step 2: Convert to fraction form
    298,897.43/448,416.25 = 118,993.87/x
  3. Step 3: Cross multiply
    298,897.43x = 448,416.25 × 118,993.87
  4. Step 4: Simplify right side
    298,897.43x = 53,358,783,539.86
  5. Step 5: Solve for x
    x = 53,358,783,539.86/298,897.43
  6. Step 6: Final answer
    x = 178,518.71

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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.