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Finding the Fourth Proportional to 424,191, 636,286.50 and 128,703

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Solution

The fourth proportional to 424,191, 636,286.50 and 128,703 is: 193,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,191 : 636,286.50 = 128,703 : x
  2. Step 2: Convert to fraction form
    424,191/636,286.50 = 128,703/x
  3. Step 3: Cross multiply
    424,191x = 636,286.50 × 128,703
  4. Step 4: Simplify right side
    424,191x = 81,891,981,409.50
  5. Step 5: Solve for x
    x = 81,891,981,409.50/424,191
  6. Step 6: Final answer
    x = 193,054.50

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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.