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Finding the Fourth Proportional to 289,772.20, 434,852.70 and 171,317.80

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Solution

The fourth proportional to 289,772.20, 434,852.70 and 171,317.80 is: 257,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,772.20 : 434,852.70 = 171,317.80 : x
  2. Step 2: Convert to fraction form
    289,772.20/434,852.70 = 171,317.80/x
  3. Step 3: Cross multiply
    289,772.20x = 434,852.70 × 171,317.80
  4. Step 4: Simplify right side
    289,772.20x = 74,498,007,888.06
  5. Step 5: Solve for x
    x = 74,498,007,888.06/289,772.20
  6. Step 6: Final answer
    x = 257,091.63

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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.