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Finding the Fourth Proportional to 382,157.52, 527,366.04 and 218,808.60

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Solution

The fourth proportional to 382,157.52, 527,366.04 and 218,808.60 is: 301,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,157.52 : 527,366.04 = 218,808.60 : x
  2. Step 2: Convert to fraction form
    382,157.52/527,366.04 = 218,808.60/x
  3. Step 3: Cross multiply
    382,157.52x = 527,366.04 × 218,808.60
  4. Step 4: Simplify right side
    382,157.52x = 115,392,224,899.94
  5. Step 5: Solve for x
    x = 115,392,224,899.94/382,157.52
  6. Step 6: Final answer
    x = 301,949.38

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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.