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Finding the Fourth Proportional to 289,340.20, 434,010.30 and 177,365.80

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Solution

The fourth proportional to 289,340.20, 434,010.30 and 177,365.80 is: 266,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,340.20 : 434,010.30 = 177,365.80 : x
  2. Step 2: Convert to fraction form
    289,340.20/434,010.30 = 177,365.80/x
  3. Step 3: Cross multiply
    289,340.20x = 434,010.30 × 177,365.80
  4. Step 4: Simplify right side
    289,340.20x = 76,978,584,067.74
  5. Step 5: Solve for x
    x = 76,978,584,067.74/289,340.20
  6. Step 6: Final answer
    x = 266,048.70

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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.