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Finding the Fourth Proportional to 409,137.68, 565,342.26 and 318,727.10

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Solution

The fourth proportional to 409,137.68, 565,342.26 and 318,727.10 is: 440,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,137.68 : 565,342.26 = 318,727.10 : x
  2. Step 2: Convert to fraction form
    409,137.68/565,342.26 = 318,727.10/x
  3. Step 3: Cross multiply
    409,137.68x = 565,342.26 × 318,727.10
  4. Step 4: Simplify right side
    409,137.68x = 180,189,899,037.25
  5. Step 5: Solve for x
    x = 180,189,899,037.25/409,137.68
  6. Step 6: Final answer
    x = 440,413.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.