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Finding the Fourth Proportional to 541,375.84, 812,141.52 and 167,428

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Solution

The fourth proportional to 541,375.84, 812,141.52 and 167,428 is: 251,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,375.84 : 812,141.52 = 167,428 : x
  2. Step 2: Convert to fraction form
    541,375.84/812,141.52 = 167,428/x
  3. Step 3: Cross multiply
    541,375.84x = 812,141.52 × 167,428
  4. Step 4: Simplify right side
    541,375.84x = 135,975,230,410.56
  5. Step 5: Solve for x
    x = 135,975,230,410.56/541,375.84
  6. Step 6: Final answer
    x = 251,166.05

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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.