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Finding the Fourth Proportional to 432,880.88, 648,971.29 and 180,351.41

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Solution

The fourth proportional to 432,880.88, 648,971.29 and 180,351.41 is: 270,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,880.88 : 648,971.29 = 180,351.41 : x
  2. Step 2: Convert to fraction form
    432,880.88/648,971.29 = 180,351.41/x
  3. Step 3: Cross multiply
    432,880.88x = 648,971.29 × 180,351.41
  4. Step 4: Simplify right side
    432,880.88x = 117,042,887,832.07
  5. Step 5: Solve for x
    x = 117,042,887,832.07/432,880.88
  6. Step 6: Final answer
    x = 270,381.28

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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.