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Finding the Fourth Proportional to 422,832.49, 634,187.23 and 123,232.65

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Solution

The fourth proportional to 422,832.49, 634,187.23 and 123,232.65 is: 184,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,832.49 : 634,187.23 = 123,232.65 : x
  2. Step 2: Convert to fraction form
    422,832.49/634,187.23 = 123,232.65/x
  3. Step 3: Cross multiply
    422,832.49x = 634,187.23 × 123,232.65
  4. Step 4: Simplify right side
    422,832.49x = 78,152,572,949.06
  5. Step 5: Solve for x
    x = 78,152,572,949.06/422,832.49
  6. Step 6: Final answer
    x = 184,831.05

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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.