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Finding the Fourth Proportional to 322,729.52, 445,358.86 and 186,744.59

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Solution

The fourth proportional to 322,729.52, 445,358.86 and 186,744.59 is: 257,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,729.52 : 445,358.86 = 186,744.59 : x
  2. Step 2: Convert to fraction form
    322,729.52/445,358.86 = 186,744.59/x
  3. Step 3: Cross multiply
    322,729.52x = 445,358.86 × 186,744.59
  4. Step 4: Simplify right side
    322,729.52x = 83,168,356,690.01
  5. Step 5: Solve for x
    x = 83,168,356,690.01/322,729.52
  6. Step 6: Final answer
    x = 257,702.98

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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.