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Finding the Fourth Proportional to 704,738.54, 972,546.32 and 382,451.42

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Solution

The fourth proportional to 704,738.54, 972,546.32 and 382,451.42 is: 527,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,738.54 : 972,546.32 = 382,451.42 : x
  2. Step 2: Convert to fraction form
    704,738.54/972,546.32 = 382,451.42/x
  3. Step 3: Cross multiply
    704,738.54x = 972,546.32 × 382,451.42
  4. Step 4: Simplify right side
    704,738.54x = 371,951,714,324.79
  5. Step 5: Solve for x
    x = 371,951,714,324.79/704,738.54
  6. Step 6: Final answer
    x = 527,786.83

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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.