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Finding the Fourth Proportional to 675,836.44, 932,553.92 and 410,484

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Solution

The fourth proportional to 675,836.44, 932,553.92 and 410,484 is: 566,406.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,836.44 : 932,553.92 = 410,484 : x
  2. Step 2: Convert to fraction form
    675,836.44/932,553.92 = 410,484/x
  3. Step 3: Cross multiply
    675,836.44x = 932,553.92 × 410,484
  4. Step 4: Simplify right side
    675,836.44x = 382,798,463,297.28
  5. Step 5: Solve for x
    x = 382,798,463,297.28/675,836.44
  6. Step 6: Final answer
    x = 566,406.96

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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.