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Finding the Fourth Proportional to 298,060.40, 447,090.60 and 278,231.60

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Solution

The fourth proportional to 298,060.40, 447,090.60 and 278,231.60 is: 417,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,060.40 : 447,090.60 = 278,231.60 : x
  2. Step 2: Convert to fraction form
    298,060.40/447,090.60 = 278,231.60/x
  3. Step 3: Cross multiply
    298,060.40x = 447,090.60 × 278,231.60
  4. Step 4: Simplify right side
    298,060.40x = 124,394,732,982.96
  5. Step 5: Solve for x
    x = 124,394,732,982.96/298,060.40
  6. Step 6: Final answer
    x = 417,347.40

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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.