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Finding the Fourth Proportional to 305,473.56, 458,252.02 and 177,450

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Solution

The fourth proportional to 305,473.56, 458,252.02 and 177,450 is: 266,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,473.56 : 458,252.02 = 177,450 : x
  2. Step 2: Convert to fraction form
    305,473.56/458,252.02 = 177,450/x
  3. Step 3: Cross multiply
    305,473.56x = 458,252.02 × 177,450
  4. Step 4: Simplify right side
    305,473.56x = 81,316,820,949
  5. Step 5: Solve for x
    x = 81,316,820,949/305,473.56
  6. Step 6: Final answer
    x = 266,199.21

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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.