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Finding the Fourth Proportional to 500,230.80, 690,420.60 and 339,137.64

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Solution

The fourth proportional to 500,230.80, 690,420.60 and 339,137.64 is: 468,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,230.80 : 690,420.60 = 339,137.64 : x
  2. Step 2: Convert to fraction form
    500,230.80/690,420.60 = 339,137.64/x
  3. Step 3: Cross multiply
    500,230.80x = 690,420.60 × 339,137.64
  4. Step 4: Simplify right side
    500,230.80x = 234,147,612,891.38
  5. Step 5: Solve for x
    x = 234,147,612,891.38/500,230.80
  6. Step 6: Final answer
    x = 468,079.16

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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.