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Finding the Fourth Proportional to 451,957.36, 677,670.24 and 171,494.32

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Solution

The fourth proportional to 451,957.36, 677,670.24 and 171,494.32 is: 257,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,957.36 : 677,670.24 = 171,494.32 : x
  2. Step 2: Convert to fraction form
    451,957.36/677,670.24 = 171,494.32/x
  3. Step 3: Cross multiply
    451,957.36x = 677,670.24 × 171,494.32
  4. Step 4: Simplify right side
    451,957.36x = 116,216,596,993.04
  5. Step 5: Solve for x
    x = 116,216,596,993.04/451,957.36
  6. Step 6: Final answer
    x = 257,140.62

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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.