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Finding the Fourth Proportional to 684,658.28, 944,755.56 and 378,686

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Solution

The fourth proportional to 684,658.28, 944,755.56 and 378,686 is: 522,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,658.28 : 944,755.56 = 378,686 : x
  2. Step 2: Convert to fraction form
    684,658.28/944,755.56 = 378,686/x
  3. Step 3: Cross multiply
    684,658.28x = 944,755.56 × 378,686
  4. Step 4: Simplify right side
    684,658.28x = 357,765,703,994.16
  5. Step 5: Solve for x
    x = 357,765,703,994.16/684,658.28
  6. Step 6: Final answer
    x = 522,546.38

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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.