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Finding the Fourth Proportional to 409,543.08, 565,215.21 and 228,271.56

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Solution

The fourth proportional to 409,543.08, 565,215.21 and 228,271.56 is: 315,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,543.08 : 565,215.21 = 228,271.56 : x
  2. Step 2: Convert to fraction form
    409,543.08/565,215.21 = 228,271.56/x
  3. Step 3: Cross multiply
    409,543.08x = 565,215.21 × 228,271.56
  4. Step 4: Simplify right side
    409,543.08x = 129,022,557,722.43
  5. Step 5: Solve for x
    x = 129,022,557,722.43/409,543.08
  6. Step 6: Final answer
    x = 315,040.26

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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.