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Finding the Fourth Proportional to 494,504.88, 742,061.88 and 194,934.48

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Solution

The fourth proportional to 494,504.88, 742,061.88 and 194,934.48 is: 292,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,504.88 : 742,061.88 = 194,934.48 : x
  2. Step 2: Convert to fraction form
    494,504.88/742,061.88 = 194,934.48/x
  3. Step 3: Cross multiply
    494,504.88x = 742,061.88 × 194,934.48
  4. Step 4: Simplify right side
    494,504.88x = 144,653,446,705.62
  5. Step 5: Solve for x
    x = 144,653,446,705.62/494,504.88
  6. Step 6: Final answer
    x = 292,521.78

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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.