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Finding the Fourth Proportional to 329,518.32, 494,315.88 and 119,255.28

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Solution

The fourth proportional to 329,518.32, 494,315.88 and 119,255.28 is: 178,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,518.32 : 494,315.88 = 119,255.28 : x
  2. Step 2: Convert to fraction form
    329,518.32/494,315.88 = 119,255.28/x
  3. Step 3: Cross multiply
    329,518.32x = 494,315.88 × 119,255.28
  4. Step 4: Simplify right side
    329,518.32x = 58,949,778,677.85
  5. Step 5: Solve for x
    x = 58,949,778,677.85/329,518.32
  6. Step 6: Final answer
    x = 178,896.82

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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.