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Finding the Fourth Proportional to 298,065.80, 447,098.70 and 228,081.80

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Solution

The fourth proportional to 298,065.80, 447,098.70 and 228,081.80 is: 342,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,065.80 : 447,098.70 = 228,081.80 : x
  2. Step 2: Convert to fraction form
    298,065.80/447,098.70 = 228,081.80/x
  3. Step 3: Cross multiply
    298,065.80x = 447,098.70 × 228,081.80
  4. Step 4: Simplify right side
    298,065.80x = 101,975,076,273.66
  5. Step 5: Solve for x
    x = 101,975,076,273.66/298,065.80
  6. Step 6: Final answer
    x = 342,122.70

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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.