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Finding the Fourth Proportional to 435,710.44, 653,653.14 and 198,989.56

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Solution

The fourth proportional to 435,710.44, 653,653.14 and 198,989.56 is: 298,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,710.44 : 653,653.14 = 198,989.56 : x
  2. Step 2: Convert to fraction form
    435,710.44/653,653.14 = 198,989.56/x
  3. Step 3: Cross multiply
    435,710.44x = 653,653.14 × 198,989.56
  4. Step 4: Simplify right side
    435,710.44x = 130,070,150,721.22
  5. Step 5: Solve for x
    x = 130,070,150,721.22/435,710.44
  6. Step 6: Final answer
    x = 298,524.29

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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.