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Finding the Fourth Proportional to 338,479.73, 506,912.54 and 196,024.02

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Solution

The fourth proportional to 338,479.73, 506,912.54 and 196,024.02 is: 293,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,479.73 : 506,912.54 = 196,024.02 : x
  2. Step 2: Convert to fraction form
    338,479.73/506,912.54 = 196,024.02/x
  3. Step 3: Cross multiply
    338,479.73x = 506,912.54 × 196,024.02
  4. Step 4: Simplify right side
    338,479.73x = 99,367,033,900.28
  5. Step 5: Solve for x
    x = 99,367,033,900.28/338,479.73
  6. Step 6: Final answer
    x = 293,568.64

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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.