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Finding the Fourth Proportional to 451,936.32, 677,501.64 and 171,650.40

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Solution

The fourth proportional to 451,936.32, 677,501.64 and 171,650.40 is: 257,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,936.32 : 677,501.64 = 171,650.40 : x
  2. Step 2: Convert to fraction form
    451,936.32/677,501.64 = 171,650.40/x
  3. Step 3: Cross multiply
    451,936.32x = 677,501.64 × 171,650.40
  4. Step 4: Simplify right side
    451,936.32x = 116,293,427,506.66
  5. Step 5: Solve for x
    x = 116,293,427,506.66/451,936.32
  6. Step 6: Final answer
    x = 257,322.60

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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.