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Finding the Fourth Proportional to 329,767, 455,078.48 and 186,523.96

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Solution

The fourth proportional to 329,767, 455,078.48 and 186,523.96 is: 257,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,767 : 455,078.48 = 186,523.96 : x
  2. Step 2: Convert to fraction form
    329,767/455,078.48 = 186,523.96/x
  3. Step 3: Cross multiply
    329,767x = 455,078.48 × 186,523.96
  4. Step 4: Simplify right side
    329,767x = 84,883,040,200.38
  5. Step 5: Solve for x
    x = 84,883,040,200.38/329,767
  6. Step 6: Final answer
    x = 257,403.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.