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Finding the Fourth Proportional to 382,179.44, 573,282.12 and 101,696.96

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Solution

The fourth proportional to 382,179.44, 573,282.12 and 101,696.96 is: 152,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,179.44 : 573,282.12 = 101,696.96 : x
  2. Step 2: Convert to fraction form
    382,179.44/573,282.12 = 101,696.96/x
  3. Step 3: Cross multiply
    382,179.44x = 573,282.12 × 101,696.96
  4. Step 4: Simplify right side
    382,179.44x = 58,301,048,826.36
  5. Step 5: Solve for x
    x = 58,301,048,826.36/382,179.44
  6. Step 6: Final answer
    x = 152,548.89

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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.