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Finding the Fourth Proportional to 413,885.34, 620,942.49 and 164,742.30

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Solution

The fourth proportional to 413,885.34, 620,942.49 and 164,742.30 is: 247,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,885.34 : 620,942.49 = 164,742.30 : x
  2. Step 2: Convert to fraction form
    413,885.34/620,942.49 = 164,742.30/x
  3. Step 3: Cross multiply
    413,885.34x = 620,942.49 × 164,742.30
  4. Step 4: Simplify right side
    413,885.34x = 102,295,493,970.33
  5. Step 5: Solve for x
    x = 102,295,493,970.33/413,885.34
  6. Step 6: Final answer
    x = 247,159.02

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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.