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Finding the Fourth Proportional to 262,202.30, 392,319.30 and 173,628.80

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Solution

The fourth proportional to 262,202.30, 392,319.30 and 173,628.80 is: 259,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,202.30 : 392,319.30 = 173,628.80 : x
  2. Step 2: Convert to fraction form
    262,202.30/392,319.30 = 173,628.80/x
  3. Step 3: Cross multiply
    262,202.30x = 392,319.30 × 173,628.80
  4. Step 4: Simplify right side
    262,202.30x = 68,117,929,275.84
  5. Step 5: Solve for x
    x = 68,117,929,275.84/262,202.30
  6. Step 6: Final answer
    x = 259,791.50

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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.