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Finding the Fourth Proportional to 331,639.13, 457,735.86 and 210,756.84

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Solution

The fourth proportional to 331,639.13, 457,735.86 and 210,756.84 is: 290,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,639.13 : 457,735.86 = 210,756.84 : x
  2. Step 2: Convert to fraction form
    331,639.13/457,735.86 = 210,756.84/x
  3. Step 3: Cross multiply
    331,639.13x = 457,735.86 × 210,756.84
  4. Step 4: Simplify right side
    331,639.13x = 96,470,963,408.28
  5. Step 5: Solve for x
    x = 96,470,963,408.28/331,639.13
  6. Step 6: Final answer
    x = 290,891.38

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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.