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Finding the Fourth Proportional to 389,877, 538,031.88 and 211,029

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Solution

The fourth proportional to 389,877, 538,031.88 and 211,029 is: 291,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,877 : 538,031.88 = 211,029 : x
  2. Step 2: Convert to fraction form
    389,877/538,031.88 = 211,029/x
  3. Step 3: Cross multiply
    389,877x = 538,031.88 × 211,029
  4. Step 4: Simplify right side
    389,877x = 113,540,329,604.52
  5. Step 5: Solve for x
    x = 113,540,329,604.52/389,877
  6. Step 6: Final answer
    x = 291,220.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.