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Finding the Fourth Proportional to 541,255.84, 811,961.52 and 167,308

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Solution

The fourth proportional to 541,255.84, 811,961.52 and 167,308 is: 250,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,255.84 : 811,961.52 = 167,308 : x
  2. Step 2: Convert to fraction form
    541,255.84/811,961.52 = 167,308/x
  3. Step 3: Cross multiply
    541,255.84x = 811,961.52 × 167,308
  4. Step 4: Simplify right side
    541,255.84x = 135,847,657,988.16
  5. Step 5: Solve for x
    x = 135,847,657,988.16/541,255.84
  6. Step 6: Final answer
    x = 250,986.04

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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.