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Finding the Fourth Proportional to 409,847.94, 565,589.06 and 228,560.08

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Solution

The fourth proportional to 409,847.94, 565,589.06 and 228,560.08 is: 315,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,847.94 : 565,589.06 = 228,560.08 : x
  2. Step 2: Convert to fraction form
    409,847.94/565,589.06 = 228,560.08/x
  3. Step 3: Cross multiply
    409,847.94x = 565,589.06 × 228,560.08
  4. Step 4: Simplify right side
    409,847.94x = 129,271,080,800.73
  5. Step 5: Solve for x
    x = 129,271,080,800.73/409,847.94
  6. Step 6: Final answer
    x = 315,412.30

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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.