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Finding the Fourth Proportional to 442,113.41, 662,615.26 and 189,096.41

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Solution

The fourth proportional to 442,113.41, 662,615.26 and 189,096.41 is: 283,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,113.41 : 662,615.26 = 189,096.41 : x
  2. Step 2: Convert to fraction form
    442,113.41/662,615.26 = 189,096.41/x
  3. Step 3: Cross multiply
    442,113.41x = 662,615.26 × 189,096.41
  4. Step 4: Simplify right side
    442,113.41x = 125,298,166,877.22
  5. Step 5: Solve for x
    x = 125,298,166,877.22/442,113.41
  6. Step 6: Final answer
    x = 283,407.30

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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.