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Finding the Fourth Proportional to 432,704.09, 648,981.20 and 117,087.19

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Solution

The fourth proportional to 432,704.09, 648,981.20 and 117,087.19 is: 175,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,704.09 : 648,981.20 = 117,087.19 : x
  2. Step 2: Convert to fraction form
    432,704.09/648,981.20 = 117,087.19/x
  3. Step 3: Cross multiply
    432,704.09x = 648,981.20 × 117,087.19
  4. Step 4: Simplify right side
    432,704.09x = 75,987,383,741.09
  5. Step 5: Solve for x
    x = 75,987,383,741.09/432,704.09
  6. Step 6: Final answer
    x = 175,610.50

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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.