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Finding the Fourth Proportional to 409,535.52, 565,204.92 and 228,264

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Solution

The fourth proportional to 409,535.52, 565,204.92 and 228,264 is: 315,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,535.52 : 565,204.92 = 228,264 : x
  2. Step 2: Convert to fraction form
    409,535.52/565,204.92 = 228,264/x
  3. Step 3: Cross multiply
    409,535.52x = 565,204.92 × 228,264
  4. Step 4: Simplify right side
    409,535.52x = 129,015,935,858.88
  5. Step 5: Solve for x
    x = 129,015,935,858.88/409,535.52
  6. Step 6: Final answer
    x = 315,029.90

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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.