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Finding the Fourth Proportional to 443,494.14, 665,503.66 and 163,208.22

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Solution

The fourth proportional to 443,494.14, 665,503.66 and 163,208.22 is: 244,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,494.14 : 665,503.66 = 163,208.22 : x
  2. Step 2: Convert to fraction form
    443,494.14/665,503.66 = 163,208.22/x
  3. Step 3: Cross multiply
    443,494.14x = 665,503.66 × 163,208.22
  4. Step 4: Simplify right side
    443,494.14x = 108,615,667,752.09
  5. Step 5: Solve for x
    x = 108,615,667,752.09/443,494.14
  6. Step 6: Final answer
    x = 244,908.91

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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.