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Finding the Fourth Proportional to 316,398.16, 436,787.40 and 182,236.24

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Solution

The fourth proportional to 316,398.16, 436,787.40 and 182,236.24 is: 251,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,398.16 : 436,787.40 = 182,236.24 : x
  2. Step 2: Convert to fraction form
    316,398.16/436,787.40 = 182,236.24/x
  3. Step 3: Cross multiply
    316,398.16x = 436,787.40 × 182,236.24
  4. Step 4: Simplify right side
    316,398.16x = 79,598,493,455.38
  5. Step 5: Solve for x
    x = 79,598,493,455.38/316,398.16
  6. Step 6: Final answer
    x = 251,576.98

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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.