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Finding the Fourth Proportional to 433,886.49, 649,882.17 and 180,398.34

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Solution

The fourth proportional to 433,886.49, 649,882.17 and 180,398.34 is: 270,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,886.49 : 649,882.17 = 180,398.34 : x
  2. Step 2: Convert to fraction form
    433,886.49/649,882.17 = 180,398.34/x
  3. Step 3: Cross multiply
    433,886.49x = 649,882.17 × 180,398.34
  4. Step 4: Simplify right side
    433,886.49x = 117,237,664,663.60
  5. Step 5: Solve for x
    x = 117,237,664,663.60/433,886.49
  6. Step 6: Final answer
    x = 270,203.54

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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.