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Finding the Fourth Proportional to 653,820.56, 980,729.39 and 174,048.47

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Solution

The fourth proportional to 653,820.56, 980,729.39 and 174,048.47 is: 261,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,820.56 : 980,729.39 = 174,048.47 : x
  2. Step 2: Convert to fraction form
    653,820.56/980,729.39 = 174,048.47/x
  3. Step 3: Cross multiply
    653,820.56x = 980,729.39 × 174,048.47
  4. Step 4: Simplify right side
    653,820.56x = 170,694,449,813.53
  5. Step 5: Solve for x
    x = 170,694,449,813.53/653,820.56
  6. Step 6: Final answer
    x = 261,072.32

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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.