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Finding the Fourth Proportional to 322,594.72, 445,205.65 and 193,538.02

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Solution

The fourth proportional to 322,594.72, 445,205.65 and 193,538.02 is: 267,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,594.72 : 445,205.65 = 193,538.02 : x
  2. Step 2: Convert to fraction form
    322,594.72/445,205.65 = 193,538.02/x
  3. Step 3: Cross multiply
    322,594.72x = 445,205.65 × 193,538.02
  4. Step 4: Simplify right side
    322,594.72x = 86,164,219,993.81
  5. Step 5: Solve for x
    x = 86,164,219,993.81/322,594.72
  6. Step 6: Final answer
    x = 267,097.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.