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Finding the Fourth Proportional to 329,825.36, 494,078.52 and 152,089.04

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Solution

The fourth proportional to 329,825.36, 494,078.52 and 152,089.04 is: 227,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,825.36 : 494,078.52 = 152,089.04 : x
  2. Step 2: Convert to fraction form
    329,825.36/494,078.52 = 152,089.04/x
  3. Step 3: Cross multiply
    329,825.36x = 494,078.52 × 152,089.04
  4. Step 4: Simplify right side
    329,825.36x = 75,143,927,791.42
  5. Step 5: Solve for x
    x = 75,143,927,791.42/329,825.36
  6. Step 6: Final answer
    x = 227,829.44

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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.