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Finding the Fourth Proportional to 398,241.63, 597,268.08 and 113,923.40

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Solution

The fourth proportional to 398,241.63, 597,268.08 and 113,923.40 is: 170,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,241.63 : 597,268.08 = 113,923.40 : x
  2. Step 2: Convert to fraction form
    398,241.63/597,268.08 = 113,923.40/x
  3. Step 3: Cross multiply
    398,241.63x = 597,268.08 × 113,923.40
  4. Step 4: Simplify right side
    398,241.63x = 68,042,807,398.73
  5. Step 5: Solve for x
    x = 68,042,807,398.73/398,241.63
  6. Step 6: Final answer
    x = 170,858.10

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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.