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Finding the Fourth Proportional to 386,311.32, 579,441.60 and 133,533

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Solution

The fourth proportional to 386,311.32, 579,441.60 and 133,533 is: 200,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,311.32 : 579,441.60 = 133,533 : x
  2. Step 2: Convert to fraction form
    386,311.32/579,441.60 = 133,533/x
  3. Step 3: Cross multiply
    386,311.32x = 579,441.60 × 133,533
  4. Step 4: Simplify right side
    386,311.32x = 77,374,575,172.80
  5. Step 5: Solve for x
    x = 77,374,575,172.80/386,311.32
  6. Step 6: Final answer
    x = 200,290.73

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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.