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Finding the Fourth Proportional to 298,126.48, 447,185.76 and 73,489.60

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Solution

The fourth proportional to 298,126.48, 447,185.76 and 73,489.60 is: 110,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,126.48 : 447,185.76 = 73,489.60 : x
  2. Step 2: Convert to fraction form
    298,126.48/447,185.76 = 73,489.60/x
  3. Step 3: Cross multiply
    298,126.48x = 447,185.76 × 73,489.60
  4. Step 4: Simplify right side
    298,126.48x = 32,863,502,628.10
  5. Step 5: Solve for x
    x = 32,863,502,628.10/298,126.48
  6. Step 6: Final answer
    x = 110,233.42

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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.