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Finding the Fourth Proportional to 451,546.74, 676,842.81 and 167,054.58

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Solution

The fourth proportional to 451,546.74, 676,842.81 and 167,054.58 is: 250,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,546.74 : 676,842.81 = 167,054.58 : x
  2. Step 2: Convert to fraction form
    451,546.74/676,842.81 = 167,054.58/x
  3. Step 3: Cross multiply
    451,546.74x = 676,842.81 × 167,054.58
  4. Step 4: Simplify right side
    451,546.74x = 113,069,687,966.36
  5. Step 5: Solve for x
    x = 113,069,687,966.36/451,546.74
  6. Step 6: Final answer
    x = 250,405.28

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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.