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Finding the Fourth Proportional to 433,223.56, 649,597.44 and 133,621

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Solution

The fourth proportional to 433,223.56, 649,597.44 and 133,621 is: 200,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,223.56 : 649,597.44 = 133,621 : x
  2. Step 2: Convert to fraction form
    433,223.56/649,597.44 = 133,621/x
  3. Step 3: Cross multiply
    433,223.56x = 649,597.44 × 133,621
  4. Step 4: Simplify right side
    433,223.56x = 86,799,859,530.24
  5. Step 5: Solve for x
    x = 86,799,859,530.24/433,223.56
  6. Step 6: Final answer
    x = 200,358.12

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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.