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Finding the Fourth Proportional to 435,712.44, 653,656.14 and 198,991.56

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Solution

The fourth proportional to 435,712.44, 653,656.14 and 198,991.56 is: 298,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,712.44 : 653,656.14 = 198,991.56 : x
  2. Step 2: Convert to fraction form
    435,712.44/653,656.14 = 198,991.56/x
  3. Step 3: Cross multiply
    435,712.44x = 653,656.14 × 198,991.56
  4. Step 4: Simplify right side
    435,712.44x = 130,072,055,002.18
  5. Step 5: Solve for x
    x = 130,072,055,002.18/435,712.44
  6. Step 6: Final answer
    x = 298,527.29

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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.