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Finding the Fourth Proportional to 329,010.13, 454,037.16 and 193,046.41

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Solution

The fourth proportional to 329,010.13, 454,037.16 and 193,046.41 is: 266,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,010.13 : 454,037.16 = 193,046.41 : x
  2. Step 2: Convert to fraction form
    329,010.13/454,037.16 = 193,046.41/x
  3. Step 3: Cross multiply
    329,010.13x = 454,037.16 × 193,046.41
  4. Step 4: Simplify right side
    329,010.13x = 87,650,243,744.60
  5. Step 5: Solve for x
    x = 87,650,243,744.60/329,010.13
  6. Step 6: Final answer
    x = 266,405.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.