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Finding the Fourth Proportional to 494,313.93, 740,972.34 and 194,678.73

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Solution

The fourth proportional to 494,313.93, 740,972.34 and 194,678.73 is: 291,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,313.93 : 740,972.34 = 194,678.73 : x
  2. Step 2: Convert to fraction form
    494,313.93/740,972.34 = 194,678.73/x
  3. Step 3: Cross multiply
    494,313.93x = 740,972.34 × 194,678.73
  4. Step 4: Simplify right side
    494,313.93x = 144,251,554,116.33
  5. Step 5: Solve for x
    x = 144,251,554,116.33/494,313.93
  6. Step 6: Final answer
    x = 291,821.75

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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.