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Finding the Fourth Proportional to 329,817.44, 494,746.68 and 119,457.20

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Solution

The fourth proportional to 329,817.44, 494,746.68 and 119,457.20 is: 179,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,817.44 : 494,746.68 = 119,457.20 : x
  2. Step 2: Convert to fraction form
    329,817.44/494,746.68 = 119,457.20/x
  3. Step 3: Cross multiply
    329,817.44x = 494,746.68 × 119,457.20
  4. Step 4: Simplify right side
    329,817.44x = 59,101,054,786.93
  5. Step 5: Solve for x
    x = 59,101,054,786.93/329,817.44
  6. Step 6: Final answer
    x = 179,193.24

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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.