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Finding the Fourth Proportional to 433,139.39, 649,770.14 and 133,644.32

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Solution

The fourth proportional to 433,139.39, 649,770.14 and 133,644.32 is: 200,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,139.39 : 649,770.14 = 133,644.32 : x
  2. Step 2: Convert to fraction form
    433,139.39/649,770.14 = 133,644.32/x
  3. Step 3: Cross multiply
    433,139.39x = 649,770.14 × 133,644.32
  4. Step 4: Simplify right side
    433,139.39x = 86,838,089,006.24
  5. Step 5: Solve for x
    x = 86,838,089,006.24/433,139.39
  6. Step 6: Final answer
    x = 200,485.32

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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.