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Finding the Fourth Proportional to 431,719, 595,772.22 and 252,871

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Solution

The fourth proportional to 431,719, 595,772.22 and 252,871 is: 348,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,719 : 595,772.22 = 252,871 : x
  2. Step 2: Convert to fraction form
    431,719/595,772.22 = 252,871/x
  3. Step 3: Cross multiply
    431,719x = 595,772.22 × 252,871
  4. Step 4: Simplify right side
    431,719x = 150,653,517,043.62
  5. Step 5: Solve for x
    x = 150,653,517,043.62/431,719
  6. Step 6: Final answer
    x = 348,961.98

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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.