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Finding the Fourth Proportional to 490,201.96, 735,932.64 and 377,953.48

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Solution

The fourth proportional to 490,201.96, 735,932.64 and 377,953.48 is: 567,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,201.96 : 735,932.64 = 377,953.48 : x
  2. Step 2: Convert to fraction form
    490,201.96/735,932.64 = 377,953.48/x
  3. Step 3: Cross multiply
    490,201.96x = 735,932.64 × 377,953.48
  4. Step 4: Simplify right side
    490,201.96x = 278,148,302,333.59
  5. Step 5: Solve for x
    x = 278,148,302,333.59/490,201.96
  6. Step 6: Final answer
    x = 567,415.73

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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.