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Finding the Fourth Proportional to 432,887.98, 648,982.29 and 180,358.66

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Solution

The fourth proportional to 432,887.98, 648,982.29 and 180,358.66 is: 270,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,887.98 : 648,982.29 = 180,358.66 : x
  2. Step 2: Convert to fraction form
    432,887.98/648,982.29 = 180,358.66/x
  3. Step 3: Cross multiply
    432,887.98x = 648,982.29 × 180,358.66
  4. Step 4: Simplify right side
    432,887.98x = 117,049,576,188.13
  5. Step 5: Solve for x
    x = 117,049,576,188.13/432,887.98
  6. Step 6: Final answer
    x = 270,392.30

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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.