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Finding the Fourth Proportional to 409,135.94, 613,418.68 and 181,307.50

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Solution

The fourth proportional to 409,135.94, 613,418.68 and 181,307.50 is: 271,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,135.94 : 613,418.68 = 181,307.50 : x
  2. Step 2: Convert to fraction form
    409,135.94/613,418.68 = 181,307.50/x
  3. Step 3: Cross multiply
    409,135.94x = 613,418.68 × 181,307.50
  4. Step 4: Simplify right side
    409,135.94x = 111,217,403,350.47
  5. Step 5: Solve for x
    x = 111,217,403,350.47/409,135.94
  6. Step 6: Final answer
    x = 271,834.84

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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.