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Finding the Fourth Proportional to 329,583, 494,081.28 and 119,174.16

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Solution

The fourth proportional to 329,583, 494,081.28 and 119,174.16 is: 178,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,583 : 494,081.28 = 119,174.16 : x
  2. Step 2: Convert to fraction form
    329,583/494,081.28 = 119,174.16/x
  3. Step 3: Cross multiply
    329,583x = 494,081.28 × 119,174.16
  4. Step 4: Simplify right side
    329,583x = 58,881,721,515.72
  5. Step 5: Solve for x
    x = 58,881,721,515.72/329,583
  6. Step 6: Final answer
    x = 178,655.21

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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.