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Finding the Fourth Proportional to 331,529.60, 497,294.40 and 82,211.60

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Solution

The fourth proportional to 331,529.60, 497,294.40 and 82,211.60 is: 123,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,529.60 : 497,294.40 = 82,211.60 : x
  2. Step 2: Convert to fraction form
    331,529.60/497,294.40 = 82,211.60/x
  3. Step 3: Cross multiply
    331,529.60x = 497,294.40 × 82,211.60
  4. Step 4: Simplify right side
    331,529.60x = 40,883,368,295.04
  5. Step 5: Solve for x
    x = 40,883,368,295.04/331,529.60
  6. Step 6: Final answer
    x = 123,317.40

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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.