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Finding the Fourth Proportional to 465,360.93, 642,200.67 and 261,420.48

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Solution

The fourth proportional to 465,360.93, 642,200.67 and 261,420.48 is: 360,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,360.93 : 642,200.67 = 261,420.48 : x
  2. Step 2: Convert to fraction form
    465,360.93/642,200.67 = 261,420.48/x
  3. Step 3: Cross multiply
    465,360.93x = 642,200.67 × 261,420.48
  4. Step 4: Simplify right side
    465,360.93x = 167,884,407,407.72
  5. Step 5: Solve for x
    x = 167,884,407,407.72/465,360.93
  6. Step 6: Final answer
    x = 360,761.72

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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.