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Finding the Fourth Proportional to 449,512.05, 674,534.10 and 165,402.11

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Solution

The fourth proportional to 449,512.05, 674,534.10 and 165,402.11 is: 248,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,512.05 : 674,534.10 = 165,402.11 : x
  2. Step 2: Convert to fraction form
    449,512.05/674,534.10 = 165,402.11/x
  3. Step 3: Cross multiply
    449,512.05x = 674,534.10 × 165,402.11
  4. Step 4: Simplify right side
    449,512.05x = 111,569,362,579.94
  5. Step 5: Solve for x
    x = 111,569,362,579.94/449,512.05
  6. Step 6: Final answer
    x = 248,201.05

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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.