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Finding the Fourth Proportional to 490,032.44, 735,076.37 and 174,489.38

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Solution

The fourth proportional to 490,032.44, 735,076.37 and 174,489.38 is: 261,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,032.44 : 735,076.37 = 174,489.38 : x
  2. Step 2: Convert to fraction form
    490,032.44/735,076.37 = 174,489.38/x
  3. Step 3: Cross multiply
    490,032.44x = 735,076.37 × 174,489.38
  4. Step 4: Simplify right side
    490,032.44x = 128,263,020,053.95
  5. Step 5: Solve for x
    x = 128,263,020,053.95/490,032.44
  6. Step 6: Final answer
    x = 261,743.94

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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.