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Finding the Fourth Proportional to 541,444.32, 812,131.92 and 167,436

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Solution

The fourth proportional to 541,444.32, 812,131.92 and 167,436 is: 251,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,444.32 : 812,131.92 = 167,436 : x
  2. Step 2: Convert to fraction form
    541,444.32/812,131.92 = 167,436/x
  3. Step 3: Cross multiply
    541,444.32x = 812,131.92 × 167,436
  4. Step 4: Simplify right side
    541,444.32x = 135,980,120,157.12
  5. Step 5: Solve for x
    x = 135,980,120,157.12/541,444.32
  6. Step 6: Final answer
    x = 251,143.31

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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.