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Finding the Fourth Proportional to 422,056.26, 582,519.60 and 319,903.54

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Solution

The fourth proportional to 422,056.26, 582,519.60 and 319,903.54 is: 441,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,056.26 : 582,519.60 = 319,903.54 : x
  2. Step 2: Convert to fraction form
    422,056.26/582,519.60 = 319,903.54/x
  3. Step 3: Cross multiply
    422,056.26x = 582,519.60 × 319,903.54
  4. Step 4: Simplify right side
    422,056.26x = 186,350,082,159.38
  5. Step 5: Solve for x
    x = 186,350,082,159.38/422,056.26
  6. Step 6: Final answer
    x = 441,529.01

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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.