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Finding the Fourth Proportional to 465,261.96, 642,010.50 and 261,271.56

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Solution

The fourth proportional to 465,261.96, 642,010.50 and 261,271.56 is: 360,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,261.96 : 642,010.50 = 261,271.56 : x
  2. Step 2: Convert to fraction form
    465,261.96/642,010.50 = 261,271.56/x
  3. Step 3: Cross multiply
    465,261.96x = 642,010.50 × 261,271.56
  4. Step 4: Simplify right side
    465,261.96x = 167,739,084,871.38
  5. Step 5: Solve for x
    x = 167,739,084,871.38/465,261.96
  6. Step 6: Final answer
    x = 360,526.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.