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Finding the Fourth Proportional to 322,776.54, 445,396.05 and 186,784.02

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Solution

The fourth proportional to 322,776.54, 445,396.05 and 186,784.02 is: 257,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,776.54 : 445,396.05 = 186,784.02 : x
  2. Step 2: Convert to fraction form
    322,776.54/445,396.05 = 186,784.02/x
  3. Step 3: Cross multiply
    322,776.54x = 445,396.05 × 186,784.02
  4. Step 4: Simplify right side
    322,776.54x = 83,192,864,711.12
  5. Step 5: Solve for x
    x = 83,192,864,711.12/322,776.54
  6. Step 6: Final answer
    x = 257,741.36

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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.