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Finding the Fourth Proportional to 408,647.61, 563,922.94 and 227,359.89

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Solution

The fourth proportional to 408,647.61, 563,922.94 and 227,359.89 is: 313,750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,647.61 : 563,922.94 = 227,359.89 : x
  2. Step 2: Convert to fraction form
    408,647.61/563,922.94 = 227,359.89/x
  3. Step 3: Cross multiply
    408,647.61x = 563,922.94 × 227,359.89
  4. Step 4: Simplify right side
    408,647.61x = 128,213,457,606.88
  5. Step 5: Solve for x
    x = 128,213,457,606.88/408,647.61
  6. Step 6: Final answer
    x = 313,750.66

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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.