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Finding the Fourth Proportional to 409,922.04, 565,693.26 and 228,629.30

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Solution

The fourth proportional to 409,922.04, 565,693.26 and 228,629.30 is: 315,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,922.04 : 565,693.26 = 228,629.30 : x
  2. Step 2: Convert to fraction form
    409,922.04/565,693.26 = 228,629.30/x
  3. Step 3: Cross multiply
    409,922.04x = 565,693.26 × 228,629.30
  4. Step 4: Simplify right side
    409,922.04x = 129,334,051,220.05
  5. Step 5: Solve for x
    x = 129,334,051,220.05/409,922.04
  6. Step 6: Final answer
    x = 315,508.90

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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.