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Finding the Fourth Proportional to 389,200.71, 583,825.67 and 164,519.27

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Solution

The fourth proportional to 389,200.71, 583,825.67 and 164,519.27 is: 246,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,200.71 : 583,825.67 = 164,519.27 : x
  2. Step 2: Convert to fraction form
    389,200.71/583,825.67 = 164,519.27/x
  3. Step 3: Cross multiply
    389,200.71x = 583,825.67 × 164,519.27
  4. Step 4: Simplify right side
    389,200.71x = 96,050,569,293.94
  5. Step 5: Solve for x
    x = 96,050,569,293.94/389,200.71
  6. Step 6: Final answer
    x = 246,789.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.