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Finding the Fourth Proportional to 331,851.84, 497,779.56 and 82,533.84

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Solution

The fourth proportional to 331,851.84, 497,779.56 and 82,533.84 is: 123,801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,851.84 : 497,779.56 = 82,533.84 : x
  2. Step 2: Convert to fraction form
    331,851.84/497,779.56 = 82,533.84/x
  3. Step 3: Cross multiply
    331,851.84x = 497,779.56 × 82,533.84
  4. Step 4: Simplify right side
    331,851.84x = 41,083,658,560.31
  5. Step 5: Solve for x
    x = 41,083,658,560.31/331,851.84
  6. Step 6: Final answer
    x = 123,801.21

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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.