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Finding the Fourth Proportional to 409,824.96, 565,560.90 and 228,548.34

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Solution

The fourth proportional to 409,824.96, 565,560.90 and 228,548.34 is: 315,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,824.96 : 565,560.90 = 228,548.34 : x
  2. Step 2: Convert to fraction form
    409,824.96/565,560.90 = 228,548.34/x
  3. Step 3: Cross multiply
    409,824.96x = 565,560.90 × 228,548.34
  4. Step 4: Simplify right side
    409,824.96x = 129,258,004,863.91
  5. Step 5: Solve for x
    x = 129,258,004,863.91/409,824.96
  6. Step 6: Final answer
    x = 315,398.08

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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.