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Finding the Fourth Proportional to 491,434.54, 678,388.92 and 330,383

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Solution

The fourth proportional to 491,434.54, 678,388.92 and 330,383 is: 456,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,434.54 : 678,388.92 = 330,383 : x
  2. Step 2: Convert to fraction form
    491,434.54/678,388.92 = 330,383/x
  3. Step 3: Cross multiply
    491,434.54x = 678,388.92 × 330,383
  4. Step 4: Simplify right side
    491,434.54x = 224,128,166,556.36
  5. Step 5: Solve for x
    x = 224,128,166,556.36/491,434.54
  6. Step 6: Final answer
    x = 456,069.22

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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.