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Finding the Fourth Proportional to 331,907.34, 497,862.81 and 82,589.34

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Solution

The fourth proportional to 331,907.34, 497,862.81 and 82,589.34 is: 123,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,907.34 : 497,862.81 = 82,589.34 : x
  2. Step 2: Convert to fraction form
    331,907.34/497,862.81 = 82,589.34/x
  3. Step 3: Cross multiply
    331,907.34x = 497,862.81 × 82,589.34
  4. Step 4: Simplify right side
    331,907.34x = 41,118,160,888.45
  5. Step 5: Solve for x
    x = 41,118,160,888.45/331,907.34
  6. Step 6: Final answer
    x = 123,884.46

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1.5x scale

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.