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Finding the Fourth Proportional to 444,384, 613,262.88 and 243,192.96

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Solution

The fourth proportional to 444,384, 613,262.88 and 243,192.96 is: 335,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,384 : 613,262.88 = 243,192.96 : x
  2. Step 2: Convert to fraction form
    444,384/613,262.88 = 243,192.96/x
  3. Step 3: Cross multiply
    444,384x = 613,262.88 × 243,192.96
  4. Step 4: Simplify right side
    444,384x = 149,141,215,045.33
  5. Step 5: Solve for x
    x = 149,141,215,045.33/444,384
  6. Step 6: Final answer
    x = 335,613.38

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Why These Related Problems?

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