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Finding the Fourth Proportional to 433,405.65, 650,177.73 and 133,815.81

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Solution

The fourth proportional to 433,405.65, 650,177.73 and 133,815.81 is: 200,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,405.65 : 650,177.73 = 133,815.81 : x
  2. Step 2: Convert to fraction form
    433,405.65/650,177.73 = 133,815.81/x
  3. Step 3: Cross multiply
    433,405.65x = 650,177.73 × 133,815.81
  4. Step 4: Simplify right side
    433,405.65x = 87,004,059,583.91
  5. Step 5: Solve for x
    x = 87,004,059,583.91/433,405.65
  6. Step 6: Final answer
    x = 200,745.10

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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.