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Finding the Fourth Proportional to 603,988.14, 905,982.36 and 177,524

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Solution

The fourth proportional to 603,988.14, 905,982.36 and 177,524 is: 266,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,988.14 : 905,982.36 = 177,524 : x
  2. Step 2: Convert to fraction form
    603,988.14/905,982.36 = 177,524/x
  3. Step 3: Cross multiply
    603,988.14x = 905,982.36 × 177,524
  4. Step 4: Simplify right side
    603,988.14x = 160,833,612,476.64
  5. Step 5: Solve for x
    x = 160,833,612,476.64/603,988.14
  6. Step 6: Final answer
    x = 266,286.04

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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.