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Finding the Fourth Proportional to 409,846.11, 565,590.92 and 228,569.73

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Solution

The fourth proportional to 409,846.11, 565,590.92 and 228,569.73 is: 315,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,846.11 : 565,590.92 = 228,569.73 : x
  2. Step 2: Convert to fraction form
    409,846.11/565,590.92 = 228,569.73/x
  3. Step 3: Cross multiply
    409,846.11x = 565,590.92 × 228,569.73
  4. Step 4: Simplify right side
    409,846.11x = 129,276,962,732.00
  5. Step 5: Solve for x
    x = 129,276,962,732.00/409,846.11
  6. Step 6: Final answer
    x = 315,428.06

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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.