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Finding the Fourth Proportional to 279,459.33, 419,254.06 and 79,782.45

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Solution

The fourth proportional to 279,459.33, 419,254.06 and 79,782.45 is: 119,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,459.33 : 419,254.06 = 79,782.45 : x
  2. Step 2: Convert to fraction form
    279,459.33/419,254.06 = 79,782.45/x
  3. Step 3: Cross multiply
    279,459.33x = 419,254.06 × 79,782.45
  4. Step 4: Simplify right side
    279,459.33x = 33,449,116,079.25
  5. Step 5: Solve for x
    x = 33,449,116,079.25/279,459.33
  6. Step 6: Final answer
    x = 119,692.25

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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.