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Finding the Fourth Proportional to 298,000.40, 446,827.80 and 111,030.80

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Solution

The fourth proportional to 298,000.40, 446,827.80 and 111,030.80 is: 166,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,000.40 : 446,827.80 = 111,030.80 : x
  2. Step 2: Convert to fraction form
    298,000.40/446,827.80 = 111,030.80/x
  3. Step 3: Cross multiply
    298,000.40x = 446,827.80 × 111,030.80
  4. Step 4: Simplify right side
    298,000.40x = 49,611,648,096.24
  5. Step 5: Solve for x
    x = 49,611,648,096.24/298,000.40
  6. Step 6: Final answer
    x = 166,481.82

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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.