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Finding the Fourth Proportional to 464,736.26, 696,958.59 and 149,123

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Solution

The fourth proportional to 464,736.26, 696,958.59 and 149,123 is: 223,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,736.26 : 696,958.59 = 149,123 : x
  2. Step 2: Convert to fraction form
    464,736.26/696,958.59 = 149,123/x
  3. Step 3: Cross multiply
    464,736.26x = 696,958.59 × 149,123
  4. Step 4: Simplify right side
    464,736.26x = 103,932,555,816.57
  5. Step 5: Solve for x
    x = 103,932,555,816.57/464,736.26
  6. Step 6: Final answer
    x = 223,637.72

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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.