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Finding the Fourth Proportional to 279,384.40, 419,076.60 and 110,944.90

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Solution

The fourth proportional to 279,384.40, 419,076.60 and 110,944.90 is: 166,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,384.40 : 419,076.60 = 110,944.90 : x
  2. Step 2: Convert to fraction form
    279,384.40/419,076.60 = 110,944.90/x
  3. Step 3: Cross multiply
    279,384.40x = 419,076.60 × 110,944.90
  4. Step 4: Simplify right side
    279,384.40x = 46,494,411,479.34
  5. Step 5: Solve for x
    x = 46,494,411,479.34/279,384.40
  6. Step 6: Final answer
    x = 166,417.35

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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.