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Finding the Fourth Proportional to 433,453.40, 649,975.98 and 281,404.52

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Solution

The fourth proportional to 433,453.40, 649,975.98 and 281,404.52 is: 421,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,453.40 : 649,975.98 = 281,404.52 : x
  2. Step 2: Convert to fraction form
    433,453.40/649,975.98 = 281,404.52/x
  3. Step 3: Cross multiply
    433,453.40x = 649,975.98 × 281,404.52
  4. Step 4: Simplify right side
    433,453.40x = 182,906,178,663.43
  5. Step 5: Solve for x
    x = 182,906,178,663.43/433,453.40
  6. Step 6: Final answer
    x = 421,974.26

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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.