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Finding the Fourth Proportional to 524,016.21, 785,463.64 and 271,041.97

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Solution

The fourth proportional to 524,016.21, 785,463.64 and 271,041.97 is: 406,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,016.21 : 785,463.64 = 271,041.97 : x
  2. Step 2: Convert to fraction form
    524,016.21/785,463.64 = 271,041.97/x
  3. Step 3: Cross multiply
    524,016.21x = 785,463.64 × 271,041.97
  4. Step 4: Simplify right side
    524,016.21x = 212,893,612,348.97
  5. Step 5: Solve for x
    x = 212,893,612,348.97/524,016.21
  6. Step 6: Final answer
    x = 406,272.95

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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.