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Finding the Fourth Proportional to 298,978.40, 448,467.60 and 149,679.20

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Solution

The fourth proportional to 298,978.40, 448,467.60 and 149,679.20 is: 224,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,978.40 : 448,467.60 = 149,679.20 : x
  2. Step 2: Convert to fraction form
    298,978.40/448,467.60 = 149,679.20/x
  3. Step 3: Cross multiply
    298,978.40x = 448,467.60 × 149,679.20
  4. Step 4: Simplify right side
    298,978.40x = 67,126,271,593.92
  5. Step 5: Solve for x
    x = 67,126,271,593.92/298,978.40
  6. Step 6: Final answer
    x = 224,518.80

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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.