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Finding the Fourth Proportional to 494,321.94, 740,984.34 and 194,686.74

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Solution

The fourth proportional to 494,321.94, 740,984.34 and 194,686.74 is: 291,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,321.94 : 740,984.34 = 194,686.74 : x
  2. Step 2: Convert to fraction form
    494,321.94/740,984.34 = 194,686.74/x
  3. Step 3: Cross multiply
    494,321.94x = 740,984.34 × 194,686.74
  4. Step 4: Simplify right side
    494,321.94x = 144,259,825,545.65
  5. Step 5: Solve for x
    x = 144,259,825,545.65/494,321.94
  6. Step 6: Final answer
    x = 291,833.75

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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.