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Finding the Fourth Proportional to 333,468.75, 500,266.34 and 133,804.87

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Solution

The fourth proportional to 333,468.75, 500,266.34 and 133,804.87 is: 200,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,468.75 : 500,266.34 = 133,804.87 : x
  2. Step 2: Convert to fraction form
    333,468.75/500,266.34 = 133,804.87/x
  3. Step 3: Cross multiply
    333,468.75x = 500,266.34 × 133,804.87
  4. Step 4: Simplify right side
    333,468.75x = 66,938,072,589.08
  5. Step 5: Solve for x
    x = 66,938,072,589.08/333,468.75
  6. Step 6: Final answer
    x = 200,732.67

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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.