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Finding the Fourth Proportional to 432,354.33, 648,180.98 and 179,823.87

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Solution

The fourth proportional to 432,354.33, 648,180.98 and 179,823.87 is: 269,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,354.33 : 648,180.98 = 179,823.87 : x
  2. Step 2: Convert to fraction form
    432,354.33/648,180.98 = 179,823.87/x
  3. Step 3: Cross multiply
    432,354.33x = 648,180.98 × 179,823.87
  4. Step 4: Simplify right side
    432,354.33x = 116,558,414,893.73
  5. Step 5: Solve for x
    x = 116,558,414,893.73/432,354.33
  6. Step 6: Final answer
    x = 269,590.02

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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.