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Finding the Fourth Proportional to 298,122.48, 447,179.76 and 73,485.60

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Solution

The fourth proportional to 298,122.48, 447,179.76 and 73,485.60 is: 110,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,122.48 : 447,179.76 = 73,485.60 : x
  2. Step 2: Convert to fraction form
    298,122.48/447,179.76 = 73,485.60/x
  3. Step 3: Cross multiply
    298,122.48x = 447,179.76 × 73,485.60
  4. Step 4: Simplify right side
    298,122.48x = 32,861,272,971.46
  5. Step 5: Solve for x
    x = 32,861,272,971.46/298,122.48
  6. Step 6: Final answer
    x = 110,227.42

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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.