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Finding the Fourth Proportional to 490,423.92, 735,645.14 and 135,447.39

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Solution

The fourth proportional to 490,423.92, 735,645.14 and 135,447.39 is: 203,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,423.92 : 735,645.14 = 135,447.39 : x
  2. Step 2: Convert to fraction form
    490,423.92/735,645.14 = 135,447.39/x
  3. Step 3: Cross multiply
    490,423.92x = 735,645.14 × 135,447.39
  4. Step 4: Simplify right side
    490,423.92x = 99,641,214,009.88
  5. Step 5: Solve for x
    x = 99,641,214,009.88/490,423.92
  6. Step 6: Final answer
    x = 203,173.64

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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.