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Finding the Fourth Proportional to 401,083.24, 601,626.20 and 101,563.64

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Solution

The fourth proportional to 401,083.24, 601,626.20 and 101,563.64 is: 152,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,083.24 : 601,626.20 = 101,563.64 : x
  2. Step 2: Convert to fraction form
    401,083.24/601,626.20 = 101,563.64/x
  3. Step 3: Cross multiply
    401,083.24x = 601,626.20 × 101,563.64
  4. Step 4: Simplify right side
    401,083.24x = 61,103,346,791.37
  5. Step 5: Solve for x
    x = 61,103,346,791.37/401,083.24
  6. Step 6: Final answer
    x = 152,345.80

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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.