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Finding the Fourth Proportional to 331,823.56, 497,737.26 and 82,505.56

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Solution

The fourth proportional to 331,823.56, 497,737.26 and 82,505.56 is: 123,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,823.56 : 497,737.26 = 82,505.56 : x
  2. Step 2: Convert to fraction form
    331,823.56/497,737.26 = 82,505.56/x
  3. Step 3: Cross multiply
    331,823.56x = 497,737.26 × 82,505.56
  4. Step 4: Simplify right side
    331,823.56x = 41,066,091,369.17
  5. Step 5: Solve for x
    x = 41,066,091,369.17/331,823.56
  6. Step 6: Final answer
    x = 123,758.82

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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.