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Finding the Fourth Proportional to 382,908.76, 528,463.65 and 219,628.96

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Solution

The fourth proportional to 382,908.76, 528,463.65 and 219,628.96 is: 303,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,908.76 : 528,463.65 = 219,628.96 : x
  2. Step 2: Convert to fraction form
    382,908.76/528,463.65 = 219,628.96/x
  3. Step 3: Cross multiply
    382,908.76x = 528,463.65 × 219,628.96
  4. Step 4: Simplify right side
    382,908.76x = 116,065,921,847.30
  5. Step 5: Solve for x
    x = 116,065,921,847.30/382,908.76
  6. Step 6: Final answer
    x = 303,116.39

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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.