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Finding the Fourth Proportional to 322,462.08, 445,006.85 and 186,483.06

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Solution

The fourth proportional to 322,462.08, 445,006.85 and 186,483.06 is: 257,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,462.08 : 445,006.85 = 186,483.06 : x
  2. Step 2: Convert to fraction form
    322,462.08/445,006.85 = 186,483.06/x
  3. Step 3: Cross multiply
    322,462.08x = 445,006.85 × 186,483.06
  4. Step 4: Simplify right side
    322,462.08x = 82,986,238,176.55
  5. Step 5: Solve for x
    x = 82,986,238,176.55/322,462.08
  6. Step 6: Final answer
    x = 257,351.93

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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.