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Finding the Fourth Proportional to 398,415.27, 597,739.63 and 128,537.94

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Solution

The fourth proportional to 398,415.27, 597,739.63 and 128,537.94 is: 192,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,415.27 : 597,739.63 = 128,537.94 : x
  2. Step 2: Convert to fraction form
    398,415.27/597,739.63 = 128,537.94/x
  3. Step 3: Cross multiply
    398,415.27x = 597,739.63 × 128,537.94
  4. Step 4: Simplify right side
    398,415.27x = 76,832,220,696.56
  5. Step 5: Solve for x
    x = 76,832,220,696.56/398,415.27
  6. Step 6: Final answer
    x = 192,844.57

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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.