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Finding the Fourth Proportional to 402,224.40, 603,676.80 and 165,736.80

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Solution

The fourth proportional to 402,224.40, 603,676.80 and 165,736.80 is: 248,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,224.40 : 603,676.80 = 165,736.80 : x
  2. Step 2: Convert to fraction form
    402,224.40/603,676.80 = 165,736.80/x
  3. Step 3: Cross multiply
    402,224.40x = 603,676.80 × 165,736.80
  4. Step 4: Simplify right side
    402,224.40x = 100,051,461,066.24
  5. Step 5: Solve for x
    x = 100,051,461,066.24/402,224.40
  6. Step 6: Final answer
    x = 248,745.38

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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.