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Finding the Fourth Proportional to 329,766.36, 455,087.90 and 186,523.54

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Solution

The fourth proportional to 329,766.36, 455,087.90 and 186,523.54 is: 257,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,766.36 : 455,087.90 = 186,523.54 : x
  2. Step 2: Convert to fraction form
    329,766.36/455,087.90 = 186,523.54/x
  3. Step 3: Cross multiply
    329,766.36x = 455,087.90 × 186,523.54
  4. Step 4: Simplify right side
    329,766.36x = 84,884,606,119.17
  5. Step 5: Solve for x
    x = 84,884,606,119.17/329,766.36
  6. Step 6: Final answer
    x = 257,408.32

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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.