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Finding the Fourth Proportional to 431,716, 595,768.08 and 252,868

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Solution

The fourth proportional to 431,716, 595,768.08 and 252,868 is: 348,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,716 : 595,768.08 = 252,868 : x
  2. Step 2: Convert to fraction form
    431,716/595,768.08 = 252,868/x
  3. Step 3: Cross multiply
    431,716x = 595,768.08 × 252,868
  4. Step 4: Simplify right side
    431,716x = 150,650,682,853.44
  5. Step 5: Solve for x
    x = 150,650,682,853.44/431,716
  6. Step 6: Final answer
    x = 348,957.84

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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.