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Finding the Fourth Proportional to 310,257.96, 465,272 and 110,525.28

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Solution

The fourth proportional to 310,257.96, 465,272 and 110,525.28 is: 165,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,257.96 : 465,272 = 110,525.28 : x
  2. Step 2: Convert to fraction form
    310,257.96/465,272 = 110,525.28/x
  3. Step 3: Cross multiply
    310,257.96x = 465,272 × 110,525.28
  4. Step 4: Simplify right side
    310,257.96x = 51,424,318,076.16
  5. Step 5: Solve for x
    x = 51,424,318,076.16/310,257.96
  6. Step 6: Final answer
    x = 165,746.97

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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.