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Finding the Fourth Proportional to 444,348, 613,200.24 and 243,144

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Solution

The fourth proportional to 444,348, 613,200.24 and 243,144 is: 335,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,348 : 613,200.24 = 243,144 : x
  2. Step 2: Convert to fraction form
    444,348/613,200.24 = 243,144/x
  3. Step 3: Cross multiply
    444,348x = 613,200.24 × 243,144
  4. Step 4: Simplify right side
    444,348x = 149,095,959,154.56
  5. Step 5: Solve for x
    x = 149,095,959,154.56/444,348
  6. Step 6: Final answer
    x = 335,538.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.