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Finding the Fourth Proportional to 382,204.40, 527,447.97 and 210,129.82

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Solution

The fourth proportional to 382,204.40, 527,447.97 and 210,129.82 is: 289,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,204.40 : 527,447.97 = 210,129.82 : x
  2. Step 2: Convert to fraction form
    382,204.40/527,447.97 = 210,129.82/x
  3. Step 3: Cross multiply
    382,204.40x = 527,447.97 × 210,129.82
  4. Step 4: Simplify right side
    382,204.40x = 110,832,543,307.58
  5. Step 5: Solve for x
    x = 110,832,543,307.58/382,204.40
  6. Step 6: Final answer
    x = 289,982.39

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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.