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Finding the Fourth Proportional to 398,345.34, 597,083.30 and 196,080.65

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Solution

The fourth proportional to 398,345.34, 597,083.30 and 196,080.65 is: 293,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,345.34 : 597,083.30 = 196,080.65 : x
  2. Step 2: Convert to fraction form
    398,345.34/597,083.30 = 196,080.65/x
  3. Step 3: Cross multiply
    398,345.34x = 597,083.30 × 196,080.65
  4. Step 4: Simplify right side
    398,345.34x = 117,076,480,576.69
  5. Step 5: Solve for x
    x = 117,076,480,576.69/398,345.34
  6. Step 6: Final answer
    x = 293,906.99

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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.