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Finding the Fourth Proportional to 411,980.62, 617,471.90 and 174,825.10

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Solution

The fourth proportional to 411,980.62, 617,471.90 and 174,825.10 is: 262,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,980.62 : 617,471.90 = 174,825.10 : x
  2. Step 2: Convert to fraction form
    411,980.62/617,471.90 = 174,825.10/x
  3. Step 3: Cross multiply
    411,980.62x = 617,471.90 × 174,825.10
  4. Step 4: Simplify right side
    411,980.62x = 107,949,586,664.69
  5. Step 5: Solve for x
    x = 107,949,586,664.69/411,980.62
  6. Step 6: Final answer
    x = 262,025.89

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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.