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Finding the Fourth Proportional to 411,584.73, 617,358.54 and 171,599.76

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Solution

The fourth proportional to 411,584.73, 617,358.54 and 171,599.76 is: 257,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,584.73 : 617,358.54 = 171,599.76 : x
  2. Step 2: Convert to fraction form
    411,584.73/617,358.54 = 171,599.76/x
  3. Step 3: Cross multiply
    411,584.73x = 617,358.54 × 171,599.76
  4. Step 4: Simplify right side
    411,584.73x = 105,938,577,297.95
  5. Step 5: Solve for x
    x = 105,938,577,297.95/411,584.73
  6. Step 6: Final answer
    x = 257,391.90

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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.