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Finding the Fourth Proportional to 441,438.96, 662,005.81 and 171,503.48

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Solution

The fourth proportional to 441,438.96, 662,005.81 and 171,503.48 is: 257,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,438.96 : 662,005.81 = 171,503.48 : x
  2. Step 2: Convert to fraction form
    441,438.96/662,005.81 = 171,503.48/x
  3. Step 3: Cross multiply
    441,438.96x = 662,005.81 × 171,503.48
  4. Step 4: Simplify right side
    441,438.96x = 113,536,298,340.83
  5. Step 5: Solve for x
    x = 113,536,298,340.83/441,438.96
  6. Step 6: Final answer
    x = 257,195.92

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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.