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Finding the Fourth Proportional to 329,609.18, 494,463.12 and 119,296.32

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Solution

The fourth proportional to 329,609.18, 494,463.12 and 119,296.32 is: 178,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,609.18 : 494,463.12 = 119,296.32 : x
  2. Step 2: Convert to fraction form
    329,609.18/494,463.12 = 119,296.32/x
  3. Step 3: Cross multiply
    329,609.18x = 494,463.12 × 119,296.32
  4. Step 4: Simplify right side
    329,609.18x = 58,987,631,518.84
  5. Step 5: Solve for x
    x = 58,987,631,518.84/329,609.18
  6. Step 6: Final answer
    x = 178,962.35

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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.