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Finding the Fourth Proportional to 409,801.23, 565,523.28 and 228,515.31

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Solution

The fourth proportional to 409,801.23, 565,523.28 and 228,515.31 is: 315,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,801.23 : 565,523.28 = 228,515.31 : x
  2. Step 2: Convert to fraction form
    409,801.23/565,523.28 = 228,515.31/x
  3. Step 3: Cross multiply
    409,801.23x = 565,523.28 × 228,515.31
  4. Step 4: Simplify right side
    409,801.23x = 129,230,727,641.42
  5. Step 5: Solve for x
    x = 129,230,727,641.42/409,801.23
  6. Step 6: Final answer
    x = 315,349.78

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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.