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Finding the Fourth Proportional to 524,015.93, 785,463.31 and 271,041.73

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Solution

The fourth proportional to 524,015.93, 785,463.31 and 271,041.73 is: 406,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,015.93 : 785,463.31 = 271,041.73 : x
  2. Step 2: Convert to fraction form
    524,015.93/785,463.31 = 271,041.73/x
  3. Step 3: Cross multiply
    524,015.93x = 785,463.31 × 271,041.73
  4. Step 4: Simplify right side
    524,015.93x = 212,893,332,769.07
  5. Step 5: Solve for x
    x = 212,893,332,769.07/524,015.93
  6. Step 6: Final answer
    x = 406,272.63

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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.