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Finding the Fourth Proportional to 441,077.46, 661,655.66 and 171,199.28

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Solution

The fourth proportional to 441,077.46, 661,655.66 and 171,199.28 is: 256,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,077.46 : 661,655.66 = 171,199.28 : x
  2. Step 2: Convert to fraction form
    441,077.46/661,655.66 = 171,199.28/x
  3. Step 3: Cross multiply
    441,077.46x = 661,655.66 × 171,199.28
  4. Step 4: Simplify right side
    441,077.46x = 113,274,972,599.93
  5. Step 5: Solve for x
    x = 113,274,972,599.93/441,077.46
  6. Step 6: Final answer
    x = 256,814.24

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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.