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Finding the Fourth Proportional to 382,367.80, 573,628.26 and 214,127.38

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Solution

The fourth proportional to 382,367.80, 573,628.26 and 214,127.38 is: 321,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,367.80 : 573,628.26 = 214,127.38 : x
  2. Step 2: Convert to fraction form
    382,367.80/573,628.26 = 214,127.38/x
  3. Step 3: Cross multiply
    382,367.80x = 573,628.26 × 214,127.38
  4. Step 4: Simplify right side
    382,367.80x = 122,829,516,407.76
  5. Step 5: Solve for x
    x = 122,829,516,407.76/382,367.80
  6. Step 6: Final answer
    x = 321,233.94

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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.