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Finding the Fourth Proportional to 310,273.92, 465,295.92 and 110,541.30

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Solution

The fourth proportional to 310,273.92, 465,295.92 and 110,541.30 is: 165,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,273.92 : 465,295.92 = 110,541.30 : x
  2. Step 2: Convert to fraction form
    310,273.92/465,295.92 = 110,541.30/x
  3. Step 3: Cross multiply
    310,273.92x = 465,295.92 × 110,541.30
  4. Step 4: Simplify right side
    310,273.92x = 51,434,415,881.50
  5. Step 5: Solve for x
    x = 51,434,415,881.50/310,273.92
  6. Step 6: Final answer
    x = 165,770.99

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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.