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Finding the Fourth Proportional to 310,259.96, 465,275 and 110,527.28

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Solution

The fourth proportional to 310,259.96, 465,275 and 110,527.28 is: 165,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,259.96 : 465,275 = 110,527.28 : x
  2. Step 2: Convert to fraction form
    310,259.96/465,275 = 110,527.28/x
  3. Step 3: Cross multiply
    310,259.96x = 465,275 × 110,527.28
  4. Step 4: Simplify right side
    310,259.96x = 51,425,580,202
  5. Step 5: Solve for x
    x = 51,425,580,202/310,259.96
  6. Step 6: Final answer
    x = 165,749.97

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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.