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Finding the Fourth Proportional to 422,482.44, 583,039.32 and 231,507.96

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Solution

The fourth proportional to 422,482.44, 583,039.32 and 231,507.96 is: 319,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,482.44 : 583,039.32 = 231,507.96 : x
  2. Step 2: Convert to fraction form
    422,482.44/583,039.32 = 231,507.96/x
  3. Step 3: Cross multiply
    422,482.44x = 583,039.32 × 231,507.96
  4. Step 4: Simplify right side
    422,482.44x = 134,978,243,572.99
  5. Step 5: Solve for x
    x = 134,978,243,572.99/422,482.44
  6. Step 6: Final answer
    x = 319,488.41

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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.