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Finding the Fourth Proportional to 279,987.60, 419,981.40 and 174,865.80

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Solution

The fourth proportional to 279,987.60, 419,981.40 and 174,865.80 is: 262,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,987.60 : 419,981.40 = 174,865.80 : x
  2. Step 2: Convert to fraction form
    279,987.60/419,981.40 = 174,865.80/x
  3. Step 3: Cross multiply
    279,987.60x = 419,981.40 × 174,865.80
  4. Step 4: Simplify right side
    279,987.60x = 73,440,383,496.12
  5. Step 5: Solve for x
    x = 73,440,383,496.12/279,987.60
  6. Step 6: Final answer
    x = 262,298.70

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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.