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Finding the Fourth Proportional to 500,593.86, 690,266.07 and 319,018.32

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Solution

The fourth proportional to 500,593.86, 690,266.07 and 319,018.32 is: 439,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,593.86 : 690,266.07 = 319,018.32 : x
  2. Step 2: Convert to fraction form
    500,593.86/690,266.07 = 319,018.32/x
  3. Step 3: Cross multiply
    500,593.86x = 690,266.07 × 319,018.32
  4. Step 4: Simplify right side
    500,593.86x = 220,207,522,004.40
  5. Step 5: Solve for x
    x = 220,207,522,004.40/500,593.86
  6. Step 6: Final answer
    x = 439,892.57

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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.