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Finding the Fourth Proportional to 312,549.75, 469,076.00 and 162,834.75

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Solution

The fourth proportional to 312,549.75, 469,076.00 and 162,834.75 is: 244,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,549.75 : 469,076.00 = 162,834.75 : x
  2. Step 2: Convert to fraction form
    312,549.75/469,076.00 = 162,834.75/x
  3. Step 3: Cross multiply
    312,549.75x = 469,076.00 × 162,834.75
  4. Step 4: Simplify right side
    312,549.75x = 76,381,872,376.83
  5. Step 5: Solve for x
    x = 76,381,872,376.83/312,549.75
  6. Step 6: Final answer
    x = 244,383.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.