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Finding the Fourth Proportional to 432,899.33, 649,348.97 and 117,348.03

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Solution

The fourth proportional to 432,899.33, 649,348.97 and 117,348.03 is: 176,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,899.33 : 649,348.97 = 117,348.03 : x
  2. Step 2: Convert to fraction form
    432,899.33/649,348.97 = 117,348.03/x
  3. Step 3: Cross multiply
    432,899.33x = 649,348.97 × 117,348.03
  4. Step 4: Simplify right side
    432,899.33x = 76,199,821,825.29
  5. Step 5: Solve for x
    x = 76,199,821,825.29/432,899.33
  6. Step 6: Final answer
    x = 176,022.04

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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.