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Finding the Fourth Proportional to 524,022.37, 785,472.97 and 271,048.18

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Solution

The fourth proportional to 524,022.37, 785,472.97 and 271,048.18 is: 406,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,022.37 : 785,472.97 = 271,048.18 : x
  2. Step 2: Convert to fraction form
    524,022.37/785,472.97 = 271,048.18/x
  3. Step 3: Cross multiply
    524,022.37x = 785,472.97 × 271,048.18
  4. Step 4: Simplify right side
    524,022.37x = 212,901,016,316.39
  5. Step 5: Solve for x
    x = 212,901,016,316.39/524,022.37
  6. Step 6: Final answer
    x = 406,282.31

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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.