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Finding the Fourth Proportional to 411,542.59, 617,424.81 and 171,576.73

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Solution

The fourth proportional to 411,542.59, 617,424.81 and 171,576.73 is: 257,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,542.59 : 617,424.81 = 171,576.73 : x
  2. Step 2: Convert to fraction form
    411,542.59/617,424.81 = 171,576.73/x
  3. Step 3: Cross multiply
    411,542.59x = 617,424.81 × 171,576.73
  4. Step 4: Simplify right side
    411,542.59x = 105,935,729,920.67
  5. Step 5: Solve for x
    x = 105,935,729,920.67/411,542.59
  6. Step 6: Final answer
    x = 257,411.34

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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.