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Finding the Fourth Proportional to 322,731.52, 445,296 and 186,762.04

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Solution

The fourth proportional to 322,731.52, 445,296 and 186,762.04 is: 257,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,731.52 : 445,296 = 186,762.04 : x
  2. Step 2: Convert to fraction form
    322,731.52/445,296 = 186,762.04/x
  3. Step 3: Cross multiply
    322,731.52x = 445,296 × 186,762.04
  4. Step 4: Simplify right side
    322,731.52x = 83,164,389,363.84
  5. Step 5: Solve for x
    x = 83,164,389,363.84/322,731.52
  6. Step 6: Final answer
    x = 257,689.08

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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.