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Finding the Fourth Proportional to 401,000.10, 601,662.15 and 176,403.30

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Solution

The fourth proportional to 401,000.10, 601,662.15 and 176,403.30 is: 264,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,000.10 : 601,662.15 = 176,403.30 : x
  2. Step 2: Convert to fraction form
    401,000.10/601,662.15 = 176,403.30/x
  3. Step 3: Cross multiply
    401,000.10x = 601,662.15 × 176,403.30
  4. Step 4: Simplify right side
    401,000.10x = 106,135,188,745.10
  5. Step 5: Solve for x
    x = 106,135,188,745.10/401,000.10
  6. Step 6: Final answer
    x = 264,676.22

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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.