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Finding the Fourth Proportional to 312,824.84, 431,692.98 and 176,856.68

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Solution

The fourth proportional to 312,824.84, 431,692.98 and 176,856.68 is: 244,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,824.84 : 431,692.98 = 176,856.68 : x
  2. Step 2: Convert to fraction form
    312,824.84/431,692.98 = 176,856.68/x
  3. Step 3: Cross multiply
    312,824.84x = 431,692.98 × 176,856.68
  4. Step 4: Simplify right side
    312,824.84x = 76,347,787,222.11
  5. Step 5: Solve for x
    x = 76,347,787,222.11/312,824.84
  6. Step 6: Final answer
    x = 244,059.22

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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.