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Finding the Fourth Proportional to 500,914.49, 691,332.89 and 309,989.39

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Solution

The fourth proportional to 500,914.49, 691,332.89 and 309,989.39 is: 427,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,914.49 : 691,332.89 = 309,989.39 : x
  2. Step 2: Convert to fraction form
    500,914.49/691,332.89 = 309,989.39/x
  3. Step 3: Cross multiply
    500,914.49x = 691,332.89 × 309,989.39
  4. Step 4: Simplify right side
    500,914.49x = 214,305,859,308.09
  5. Step 5: Solve for x
    x = 214,305,859,308.09/500,914.49
  6. Step 6: Final answer
    x = 427,829.23

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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.