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Finding the Fourth Proportional to 329,009.13, 454,035.78 and 193,045.41

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Solution

The fourth proportional to 329,009.13, 454,035.78 and 193,045.41 is: 266,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,009.13 : 454,035.78 = 193,045.41 : x
  2. Step 2: Convert to fraction form
    329,009.13/454,035.78 = 193,045.41/x
  3. Step 3: Cross multiply
    329,009.13x = 454,035.78 × 193,045.41
  4. Step 4: Simplify right side
    329,009.13x = 87,649,523,304.77
  5. Step 5: Solve for x
    x = 87,649,523,304.77/329,009.13
  6. Step 6: Final answer
    x = 266,404.53

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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.