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Finding the Fourth Proportional to 433,253.96, 649,996.88 and 133,722.44

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Solution

The fourth proportional to 433,253.96, 649,996.88 and 133,722.44 is: 200,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,253.96 : 649,996.88 = 133,722.44 : x
  2. Step 2: Convert to fraction form
    433,253.96/649,996.88 = 133,722.44/x
  3. Step 3: Cross multiply
    433,253.96x = 649,996.88 × 133,722.44
  4. Step 4: Simplify right side
    433,253.96x = 86,919,168,785.99
  5. Step 5: Solve for x
    x = 86,919,168,785.99/433,253.96
  6. Step 6: Final answer
    x = 200,619.44

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1.5x scale

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.