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Finding the Fourth Proportional to 319,201.48, 477,390.48 and 283,910.41

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Solution

The fourth proportional to 319,201.48, 477,390.48 and 283,910.41 is: 424,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,201.48 : 477,390.48 = 283,910.41 : x
  2. Step 2: Convert to fraction form
    319,201.48/477,390.48 = 283,910.41/x
  3. Step 3: Cross multiply
    319,201.48x = 477,390.48 × 283,910.41
  4. Step 4: Simplify right side
    319,201.48x = 135,536,126,906.90
  5. Step 5: Solve for x
    x = 135,536,126,906.90/319,201.48
  6. Step 6: Final answer
    x = 424,609.96

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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.