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Finding the Fourth Proportional to 200,489.36, 300,780.50 and 58,338

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Solution

The fourth proportional to 200,489.36, 300,780.50 and 58,338 is: 87,520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,489.36 : 300,780.50 = 58,338 : x
  2. Step 2: Convert to fraction form
    200,489.36/300,780.50 = 58,338/x
  3. Step 3: Cross multiply
    200,489.36x = 300,780.50 × 58,338
  4. Step 4: Simplify right side
    200,489.36x = 17,546,932,809
  5. Step 5: Solve for x
    x = 17,546,932,809/200,489.36
  6. Step 6: Final answer
    x = 87,520.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.