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Finding the Fourth Proportional to 613,694.34, 846,891.36 and 341,756.28

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Solution

The fourth proportional to 613,694.34, 846,891.36 and 341,756.28 is: 471,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,694.34 : 846,891.36 = 341,756.28 : x
  2. Step 2: Convert to fraction form
    613,694.34/846,891.36 = 341,756.28/x
  3. Step 3: Cross multiply
    613,694.34x = 846,891.36 × 341,756.28
  4. Step 4: Simplify right side
    613,694.34x = 289,430,440,757.74
  5. Step 5: Solve for x
    x = 289,430,440,757.74/613,694.34
  6. Step 6: Final answer
    x = 471,619.86

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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.