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Finding the Fourth Proportional to 354,662.32, 489,433.80 and 227,337.84

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Solution

The fourth proportional to 354,662.32, 489,433.80 and 227,337.84 is: 313,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,662.32 : 489,433.80 = 227,337.84 : x
  2. Step 2: Convert to fraction form
    354,662.32/489,433.80 = 227,337.84/x
  3. Step 3: Cross multiply
    354,662.32x = 489,433.80 × 227,337.84
  4. Step 4: Simplify right side
    354,662.32x = 111,266,822,914.99
  5. Step 5: Solve for x
    x = 111,266,822,914.99/354,662.32
  6. Step 6: Final answer
    x = 313,726.09

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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.