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Finding the Fourth Proportional to 494,410.60, 741,810.30 and 194,840.20

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Solution

The fourth proportional to 494,410.60, 741,810.30 and 194,840.20 is: 292,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,410.60 : 741,810.30 = 194,840.20 : x
  2. Step 2: Convert to fraction form
    494,410.60/741,810.30 = 194,840.20/x
  3. Step 3: Cross multiply
    494,410.60x = 741,810.30 × 194,840.20
  4. Step 4: Simplify right side
    494,410.60x = 144,534,467,214.06
  5. Step 5: Solve for x
    x = 144,534,467,214.06/494,410.60
  6. Step 6: Final answer
    x = 292,336.91

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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.