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Finding the Fourth Proportional to 409,660.56, 565,333.92 and 228,384

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Solution

The fourth proportional to 409,660.56, 565,333.92 and 228,384 is: 315,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,660.56 : 565,333.92 = 228,384 : x
  2. Step 2: Convert to fraction form
    409,660.56/565,333.92 = 228,384/x
  3. Step 3: Cross multiply
    409,660.56x = 565,333.92 × 228,384
  4. Step 4: Simplify right side
    409,660.56x = 129,113,221,985.28
  5. Step 5: Solve for x
    x = 129,113,221,985.28/409,660.56
  6. Step 6: Final answer
    x = 315,171.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.