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Finding the Fourth Proportional to 298,048.80, 447,073.20 and 228,064.80

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Solution

The fourth proportional to 298,048.80, 447,073.20 and 228,064.80 is: 342,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,048.80 : 447,073.20 = 228,064.80 : x
  2. Step 2: Convert to fraction form
    298,048.80/447,073.20 = 228,064.80/x
  3. Step 3: Cross multiply
    298,048.80x = 447,073.20 × 228,064.80
  4. Step 4: Simplify right side
    298,048.80x = 101,961,659,943.36
  5. Step 5: Solve for x
    x = 101,961,659,943.36/298,048.80
  6. Step 6: Final answer
    x = 342,097.20

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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.