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Finding the Fourth Proportional to 331,720.84, 457,757.49 and 188,461

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Solution

The fourth proportional to 331,720.84, 457,757.49 and 188,461 is: 260,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,720.84 : 457,757.49 = 188,461 : x
  2. Step 2: Convert to fraction form
    331,720.84/457,757.49 = 188,461/x
  3. Step 3: Cross multiply
    331,720.84x = 457,757.49 × 188,461
  4. Step 4: Simplify right side
    331,720.84x = 86,269,434,322.89
  5. Step 5: Solve for x
    x = 86,269,434,322.89/331,720.84
  6. Step 6: Final answer
    x = 260,066.37

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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.