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Finding the Fourth Proportional to 433,288.86, 649,950.57 and 133,742.94

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Solution

The fourth proportional to 433,288.86, 649,950.57 and 133,742.94 is: 200,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,288.86 : 649,950.57 = 133,742.94 : x
  2. Step 2: Convert to fraction form
    433,288.86/649,950.57 = 133,742.94/x
  3. Step 3: Cross multiply
    433,288.86x = 649,950.57 × 133,742.94
  4. Step 4: Simplify right side
    433,288.86x = 86,926,300,086.48
  5. Step 5: Solve for x
    x = 86,926,300,086.48/433,288.86
  6. Step 6: Final answer
    x = 200,619.74

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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.