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Finding the Fourth Proportional to 400,949.34, 601,423.80 and 161,063.22

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Solution

The fourth proportional to 400,949.34, 601,423.80 and 161,063.22 is: 241,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,949.34 : 601,423.80 = 161,063.22 : x
  2. Step 2: Convert to fraction form
    400,949.34/601,423.80 = 161,063.22/x
  3. Step 3: Cross multiply
    400,949.34x = 601,423.80 × 161,063.22
  4. Step 4: Simplify right side
    400,949.34x = 96,867,253,812.64
  5. Step 5: Solve for x
    x = 96,867,253,812.64/400,949.34
  6. Step 6: Final answer
    x = 241,594.75

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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.