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Finding the Fourth Proportional to 494,659.80, 741,665.70 and 194,959.80

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Solution

The fourth proportional to 494,659.80, 741,665.70 and 194,959.80 is: 292,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,659.80 : 741,665.70 = 194,959.80 : x
  2. Step 2: Convert to fraction form
    494,659.80/741,665.70 = 194,959.80/x
  3. Step 3: Cross multiply
    494,659.80x = 741,665.70 × 194,959.80
  4. Step 4: Simplify right side
    494,659.80x = 144,594,996,538.86
  5. Step 5: Solve for x
    x = 144,594,996,538.86/494,659.80
  6. Step 6: Final answer
    x = 292,312.00

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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.