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Finding the Fourth Proportional to 442,114.41, 662,616.76 and 189,097.41

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Solution

The fourth proportional to 442,114.41, 662,616.76 and 189,097.41 is: 283,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,114.41 : 662,616.76 = 189,097.41 : x
  2. Step 2: Convert to fraction form
    442,114.41/662,616.76 = 189,097.41/x
  3. Step 3: Cross multiply
    442,114.41x = 662,616.76 × 189,097.41
  4. Step 4: Simplify right side
    442,114.41x = 125,299,113,138.59
  5. Step 5: Solve for x
    x = 125,299,113,138.59/442,114.41
  6. Step 6: Final answer
    x = 283,408.80

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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.