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Finding the Fourth Proportional to 454,802.88, 682,274.49 and 155,213.34

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Solution

The fourth proportional to 454,802.88, 682,274.49 and 155,213.34 is: 232,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,802.88 : 682,274.49 = 155,213.34 : x
  2. Step 2: Convert to fraction form
    454,802.88/682,274.49 = 155,213.34/x
  3. Step 3: Cross multiply
    454,802.88x = 682,274.49 × 155,213.34
  4. Step 4: Simplify right side
    454,802.88x = 105,898,102,389.70
  5. Step 5: Solve for x
    x = 105,898,102,389.70/454,802.88
  6. Step 6: Final answer
    x = 232,843.96

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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.