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Finding the Fourth Proportional to 401,024.84, 601,537.72 and 120,542.09

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Solution

The fourth proportional to 401,024.84, 601,537.72 and 120,542.09 is: 180,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,024.84 : 601,537.72 = 120,542.09 : x
  2. Step 2: Convert to fraction form
    401,024.84/601,537.72 = 120,542.09/x
  3. Step 3: Cross multiply
    401,024.84x = 601,537.72 × 120,542.09
  4. Step 4: Simplify right side
    401,024.84x = 72,510,613,944.23
  5. Step 5: Solve for x
    x = 72,510,613,944.23/401,024.84
  6. Step 6: Final answer
    x = 180,813.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.