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Finding the Fourth Proportional to 375,782.49, 563,667.26 and 126,464.49

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Solution

The fourth proportional to 375,782.49, 563,667.26 and 126,464.49 is: 189,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,782.49 : 563,667.26 = 126,464.49 : x
  2. Step 2: Convert to fraction form
    375,782.49/563,667.26 = 126,464.49/x
  3. Step 3: Cross multiply
    375,782.49x = 563,667.26 × 126,464.49
  4. Step 4: Simplify right side
    375,782.49x = 71,283,891,933.28
  5. Step 5: Solve for x
    x = 71,283,891,933.28/375,782.49
  6. Step 6: Final answer
    x = 189,694.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.