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Finding the Fourth Proportional to 433,267.50, 649,841.12 and 133,757.94

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Solution

The fourth proportional to 433,267.50, 649,841.12 and 133,757.94 is: 200,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,267.50 : 649,841.12 = 133,757.94 : x
  2. Step 2: Convert to fraction form
    433,267.50/649,841.12 = 133,757.94/x
  3. Step 3: Cross multiply
    433,267.50x = 649,841.12 × 133,757.94
  4. Step 4: Simplify right side
    433,267.50x = 86,921,409,538.49
  5. Step 5: Solve for x
    x = 86,921,409,538.49/433,267.50
  6. Step 6: Final answer
    x = 200,618.35

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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.