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Finding the Fourth Proportional to 388,349.46, 582,329.37 and 226,296

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Solution

The fourth proportional to 388,349.46, 582,329.37 and 226,296 is: 339,330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,349.46 : 582,329.37 = 226,296 : x
  2. Step 2: Convert to fraction form
    388,349.46/582,329.37 = 226,296/x
  3. Step 3: Cross multiply
    388,349.46x = 582,329.37 × 226,296
  4. Step 4: Simplify right side
    388,349.46x = 131,778,807,962.13
  5. Step 5: Solve for x
    x = 131,778,807,962.13/388,349.46
  6. Step 6: Final answer
    x = 339,330.48

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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.