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Finding the Fourth Proportional to 432,435.84, 648,385.26 and 179,893.26

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Solution

The fourth proportional to 432,435.84, 648,385.26 and 179,893.26 is: 269,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,435.84 : 648,385.26 = 179,893.26 : x
  2. Step 2: Convert to fraction form
    432,435.84/648,385.26 = 179,893.26/x
  3. Step 3: Cross multiply
    432,435.84x = 648,385.26 × 179,893.26
  4. Step 4: Simplify right side
    432,435.84x = 116,640,138,157.35
  5. Step 5: Solve for x
    x = 116,640,138,157.35/432,435.84
  6. Step 6: Final answer
    x = 269,728.19

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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.