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Finding the Fourth Proportional to 500,589.36, 690,259.86 and 319,013.82

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Solution

The fourth proportional to 500,589.36, 690,259.86 and 319,013.82 is: 439,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,589.36 : 690,259.86 = 319,013.82 : x
  2. Step 2: Convert to fraction form
    500,589.36/690,259.86 = 319,013.82/x
  3. Step 3: Cross multiply
    500,589.36x = 690,259.86 × 319,013.82
  4. Step 4: Simplify right side
    500,589.36x = 220,202,434,731.27
  5. Step 5: Solve for x
    x = 220,202,434,731.27/500,589.36
  6. Step 6: Final answer
    x = 439,886.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.