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Finding the Fourth Proportional to 422,519.16, 583,066.38 and 231,523.32

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Solution

The fourth proportional to 422,519.16, 583,066.38 and 231,523.32 is: 319,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,519.16 : 583,066.38 = 231,523.32 : x
  2. Step 2: Convert to fraction form
    422,519.16/583,066.38 = 231,523.32/x
  3. Step 3: Cross multiply
    422,519.16x = 583,066.38 × 231,523.32
  4. Step 4: Simplify right side
    422,519.16x = 134,993,464,077.98
  5. Step 5: Solve for x
    x = 134,993,464,077.98/422,519.16
  6. Step 6: Final answer
    x = 319,496.67

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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.