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Finding the Fourth Proportional to 504,109.24, 756,178.28 and 188,505.88

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Solution

The fourth proportional to 504,109.24, 756,178.28 and 188,505.88 is: 282,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,109.24 : 756,178.28 = 188,505.88 : x
  2. Step 2: Convert to fraction form
    504,109.24/756,178.28 = 188,505.88/x
  3. Step 3: Cross multiply
    504,109.24x = 756,178.28 × 188,505.88
  4. Step 4: Simplify right side
    504,109.24x = 142,544,052,108.29
  5. Step 5: Solve for x
    x = 142,544,052,108.29/504,109.24
  6. Step 6: Final answer
    x = 282,764.21

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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.