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Finding the Fourth Proportional to 433,133.35, 649,263.87 and 180,553.69

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Solution

The fourth proportional to 433,133.35, 649,263.87 and 180,553.69 is: 270,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,133.35 : 649,263.87 = 180,553.69 : x
  2. Step 2: Convert to fraction form
    433,133.35/649,263.87 = 180,553.69/x
  3. Step 3: Cross multiply
    433,133.35x = 649,263.87 × 180,553.69
  4. Step 4: Simplify right side
    433,133.35x = 117,226,987,512.18
  5. Step 5: Solve for x
    x = 117,226,987,512.18/433,133.35
  6. Step 6: Final answer
    x = 270,648.72

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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.