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Finding the Fourth Proportional to 382,236, 573,474.96 and 171,892.32

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Solution

The fourth proportional to 382,236, 573,474.96 and 171,892.32 is: 257,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,236 : 573,474.96 = 171,892.32 : x
  2. Step 2: Convert to fraction form
    382,236/573,474.96 = 171,892.32/x
  3. Step 3: Cross multiply
    382,236x = 573,474.96 × 171,892.32
  4. Step 4: Simplify right side
    382,236x = 98,575,941,336.31
  5. Step 5: Solve for x
    x = 98,575,941,336.31/382,236
  6. Step 6: Final answer
    x = 257,892.88

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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.