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Finding the Fourth Proportional to 305,718.98, 458,422.34 and 179,605.58

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Solution

The fourth proportional to 305,718.98, 458,422.34 and 179,605.58 is: 269,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,718.98 : 458,422.34 = 179,605.58 : x
  2. Step 2: Convert to fraction form
    305,718.98/458,422.34 = 179,605.58/x
  3. Step 3: Cross multiply
    305,718.98x = 458,422.34 × 179,605.58
  4. Step 4: Simplify right side
    305,718.98x = 82,335,210,260.66
  5. Step 5: Solve for x
    x = 82,335,210,260.66/305,718.98
  6. Step 6: Final answer
    x = 269,316.65

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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.