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Finding the Fourth Proportional to 279,934.80, 419,999.40 and 122,276.40

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Solution

The fourth proportional to 279,934.80, 419,999.40 and 122,276.40 is: 183,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,934.80 : 419,999.40 = 122,276.40 : x
  2. Step 2: Convert to fraction form
    279,934.80/419,999.40 = 122,276.40/x
  3. Step 3: Cross multiply
    279,934.80x = 419,999.40 × 122,276.40
  4. Step 4: Simplify right side
    279,934.80x = 51,356,014,634.16
  5. Step 5: Solve for x
    x = 51,356,014,634.16/279,934.80
  6. Step 6: Final answer
    x = 183,457.06

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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.