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Finding the Fourth Proportional to 494,509.88, 742,069.38 and 194,939.48

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Solution

The fourth proportional to 494,509.88, 742,069.38 and 194,939.48 is: 292,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,509.88 : 742,069.38 = 194,939.48 : x
  2. Step 2: Convert to fraction form
    494,509.88/742,069.38 = 194,939.48/x
  3. Step 3: Cross multiply
    494,509.88x = 742,069.38 × 194,939.48
  4. Step 4: Simplify right side
    494,509.88x = 144,658,619,061.12
  5. Step 5: Solve for x
    x = 144,658,619,061.12/494,509.88
  6. Step 6: Final answer
    x = 292,529.28

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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.