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Finding the Fourth Proportional to 432,782.28, 649,091.86 and 117,197.64

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Solution

The fourth proportional to 432,782.28, 649,091.86 and 117,197.64 is: 175,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,782.28 : 649,091.86 = 117,197.64 : x
  2. Step 2: Convert to fraction form
    432,782.28/649,091.86 = 117,197.64/x
  3. Step 3: Cross multiply
    432,782.28x = 649,091.86 × 117,197.64
  4. Step 4: Simplify right side
    432,782.28x = 76,072,033,842.22
  5. Step 5: Solve for x
    x = 76,072,033,842.22/432,782.28
  6. Step 6: Final answer
    x = 175,774.37

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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.