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Finding the Fourth Proportional to 433,267.51, 649,960.40 and 180,488.87

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Solution

The fourth proportional to 433,267.51, 649,960.40 and 180,488.87 is: 270,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,267.51 : 649,960.40 = 180,488.87 : x
  2. Step 2: Convert to fraction form
    433,267.51/649,960.40 = 180,488.87/x
  3. Step 3: Cross multiply
    433,267.51x = 649,960.40 × 180,488.87
  4. Step 4: Simplify right side
    433,267.51x = 117,310,620,149.06
  5. Step 5: Solve for x
    x = 117,310,620,149.06/433,267.51
  6. Step 6: Final answer
    x = 270,757.94

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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.