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Finding the Fourth Proportional to 312,109.80, 467,967.86 and 171,966.84

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Solution

The fourth proportional to 312,109.80, 467,967.86 and 171,966.84 is: 257,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,109.80 : 467,967.86 = 171,966.84 : x
  2. Step 2: Convert to fraction form
    312,109.80/467,967.86 = 171,966.84/x
  3. Step 3: Cross multiply
    312,109.80x = 467,967.86 × 171,966.84
  4. Step 4: Simplify right side
    312,109.80x = 80,474,954,105.76
  5. Step 5: Solve for x
    x = 80,474,954,105.76/312,109.80
  6. Step 6: Final answer
    x = 257,841.80

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1.5x scale

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.