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Finding the Fourth Proportional to 460,810.73, 691,112.37 and 165,322.73

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Solution

The fourth proportional to 460,810.73, 691,112.37 and 165,322.73 is: 247,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,810.73 : 691,112.37 = 165,322.73 : x
  2. Step 2: Convert to fraction form
    460,810.73/691,112.37 = 165,322.73/x
  3. Step 3: Cross multiply
    460,810.73x = 691,112.37 × 165,322.73
  4. Step 4: Simplify right side
    460,810.73x = 114,256,583,745.17
  5. Step 5: Solve for x
    x = 114,256,583,745.17/460,810.73
  6. Step 6: Final answer
    x = 247,946.88

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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.