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Finding the Fourth Proportional to 329,584.94, 454,013.74 and 281,028.82

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Solution

The fourth proportional to 329,584.94, 454,013.74 and 281,028.82 is: 387,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,584.94 : 454,013.74 = 281,028.82 : x
  2. Step 2: Convert to fraction form
    329,584.94/454,013.74 = 281,028.82/x
  3. Step 3: Cross multiply
    329,584.94x = 454,013.74 × 281,028.82
  4. Step 4: Simplify right side
    329,584.94x = 127,590,945,615.99
  5. Step 5: Solve for x
    x = 127,590,945,615.99/329,584.94
  6. Step 6: Final answer
    x = 387,126.14

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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.